32 (number)

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32 (thirty-two) is the natural number following 31 and preceding 33.

← 30 31 32 33 34 35 36 37 38 39 → List of numbers — Integers 0 10 20 30 40 50 60 70 80 90 →
Cardinal	32 thirty-two
Ordinal	32nd thirty-second
Factorization	$2^5 \,\!$
Divisors	1, 2, 4, 8, 16, 32
Roman numeral	XXXII
Binary	100000
Hexadecimal	20

1 In mathematics
2 In science
- 2.1 Astronomy
3 In music
4 In religion
5 In sports
6 In other fields
7 Historical years
8 References

[edit] In mathematics

32 is the smallest number n with exactly 7 solutions to the equation φ(x) = n. It is also the sum of the totient function for the first ten integers.

The fifth power of two, 32 is also a Leyland number since 2⁴ + 4² = 32.

As with every power of two, 32 has an aliquot sum one less than itself: the prime 31. 32 is the first member of the 31-aliquot tree.

32 is the ninth Happy number

[edit] In science

The atomic number of germanium
The freezing point of water at sea level in degrees Fahrenheit

[edit] Astronomy

Messier object M32, a magnitude 10.0 galaxy in the constellation Andromeda which is a companion to M31.

The New General Catalogue object NGC 32, a star in the constellation Pegasus

The Saros number of the solar eclipse series which began on September 24, 1957 BC and ended on March 10, 460 BC. The duration of Saros series 32 was 1496.5 years, and it contained 84 solar eclipses.

The Saros number of the lunar eclipse series which began on June 11, 1691 BC and ended on August 9, 375 BC. The duration of Saros series 32 was 1316.2 years, and it contained 74 lunar eclipses.

[edit] In music

The number of variations in Bach's Goldberg variations
The number of completed, numbered piano sonatas by Ludwig van Beethoven
In the title and lyrics of the song 32 Footsteps by They Might Be Giants
In Regina Spektor's Oedipus, it's sung "32 is still a god damn number" several times.
In Ani DiFranco's "32 Flavors, it's sung "I am 32 flavors and then some".
In the title of the song "The Chamber of 32 Doors" by Genesis, from their 1974 concept album The Lamb Lies Down On Broadway.

[edit] In religion

In the Kabbalah, there are 32 Kabbalistic Paths of Wisdom.

Jesus was crucified in the 32nd year.

[edit] In sports

The winning car number of Ray Harroun in the inaugural Indianapolis 500 in 1911.

In chess, the total number of black squares on the board, the total number of white squares, and the total number of pieces (black and white) at the beginning of the game.

The jersey number 32 has been retired for the following players: the Los Angeles Lakers' Magic Johnson, the Utah Jazz's Karl Malone, the Portland Trail Blazers' Bill Walton, the Philadelphia 76ers' Julius Erving, the Boston Celtics' Kevin McHale, baseball pitchers Sandy Koufax and Steve Carlton, Cleveland Browns' running back Jim Brown, and former West Ham United football player Carlos Tevez.

Also Jersey number for Shaquille O'Neal who played for the Miami Heat, now his number went back to 34 in the Phoenix Suns. It was also his jersey number while he was with the Orlando Magic.

And the jersey number for Richard Hamilton, who played for the Detroit Pistons.

[edit] In other fields

Thirty-two could also refer to:

The number of teeth of a full set of teeth in an adult human, including wisdom teeth
The size of a databus in bits: 32-bit
The size, in bits, of certain integer data types, used in computer representations of numbers
IPv4 uses 32-bit (4-byte) addresses
ASCII and Unicode code point for space
The code for international direct dial phone calls to Belgium
The temperature at which water freezes in Fahrenheit.
In the title Thirty-Two Short Films About Glenn Gould, starring Colm Feore
Article 32 of the UCMJ concerns pre-trial investigations. Such a hearing is often called an "article 32 hearing"
Sometimes considered to be the occult opposite of number 23 (see 23 (numerology))
The (supposed) age of Jesus Christ when he was crucified
One of the Nissan Skyline versions
Pump water up an open tube and it can be raised to 32 feet - at that point cohesion is lost and the water column will break or cavitate. Pumping may not be necessary under the sole action of capillary action
The number of national teams that have participated in each FIFA World Cup finals tournament since 1998.
An association (soccer) football is made up with 32 panels of leather.
The caliber .32 ACP
A snowboard boots brand (http://thirtytwo.com/)
The number of pages in the average comic book (not including the cover)