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56 (number)

← 55 56 57 →
Cardinal fifty-six
Ordinal 56th
(fifty-sixth)
Factorization 23× 7
Divisors 1, 2, 4, 7, 8, 14, 28, 56
Roman numeral LVI
Binary 1110002
Ternary 20023
Quaternary 3204
Quinary 2115
Senary 1326
Octal 708
Duodecimal 4812
Hexadecimal 3816
Vigesimal 2G20
Base 36 1K36

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

56 is:

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

Plutarch states that the Pythagoreans associated a polygon of 56 sides with Typhon and that they associated certain polygons of smaller numbers of sides with other figures in Greek mythology. While it is impossible to construct a perfect regular 56-sided polygon using a compass and straightedge, a close approximation has recently been discovered which it is claimed might have been used at Stonehenge, and it is constructible if the use of an angle trisector is allowed since 56 = 23 × 7.


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