56 (number)

From Wikipedia, the free encyclopedia

56 (fifty-six) is the natural number following 55 and preceding 57.

Cardinal 56
fifty-six
Ordinal 56th
fifty-sixth
Factorization 2^3\cdot 7
Divisors 1, 2, 4, 7, 8, 14, 28, 56
Roman numeral LVI
Binary 111000
Hexadecimal 38

Contents

[edit] In mathematics

56 is the sum of the first six triangular numbers (making it a tetrahedral number), as well as the sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17). It is also a tetranacci number and a pronic number. Adding up the divisors of 1 through 8 gives 56. Since 56 is twice a perfect number, it is itself a semiperfect number.

Since it is possible to find sequences of 56 consecutive integers such that each inner member member shares a factor with either the first or the last member, 56 is an Erdős–Woods number.

The maximum determinant in an 8 by 8 matrix of zeroes and ones is 56.

[edit] In science

[edit] Astronomy

  • The Saros number of the lunar eclipse series which began on -852 May 7 and ended on 428 June 13. The duration of Saros series 56 was 1280.1 years, and it contained 72 lunar eclipses.

[edit] Biology

[edit] In music

[edit] In sports

[edit] In other fields

Fifty-six is:

[edit] Historical years

56 A.D., 56 B.C., 1756, 1856, 1956, 2056, etc.