56 (number)

56 (number)
56
Cardinal fifty-six
Ordinal 56th
(fifty-sixth)
Factorization 2^3 \cdot 7
Divisors 1, 2, 4, 7, 8, 14, 28, 56
Roman numeral LVI
Binary 1110002
Octal 708
Duodecimal 4812
Hexadecimal 3816

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

Contents

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 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.

Plutarch[1] 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 simple 'square and circle' geometry, a close approximation has recently been discovered which it is claimed[2] might have been used at Stonehenge.

Science, technology, and biology

Astronomy

Music

Television and film

Sports

Organizations

  • There were 56 signers of the American Declaration of Independence in 1776. A memorial located in Constitution Gardens on the National Mall [1] in Washington, D.C. recognizes each.
  • The symbol of the Hungarian Revolution of 1956.
  • Famous Brazilian politician, Enéas Carneiro has an odd way of repeating the number of his party, "Fifty-Six" (cinqüenta e seis, in Portuguese), making it a widely repeated jargon in his country.
  • Department 56 designer of collectibles, giftware and seasonal decorations such as miniature village houses.

People

Geography

  • The name of the town Fifty-Six, Arkansas.
  • The number of counties in the state of Montana.
  • Cape Horn, the Southernmost tip of South America, is located at almost exactly 56 degrees south.
  • In the Los Angeles postal district, Zone 56 (now the ZIP Code area 90056) is one of few that is not within the Los Angeles City Limits (90020 and 90044 are others).
  • 56 is the number of the French department Morbihan.

Transportation

Archaeology

Cosmogony

History

References

  1. ^ Plutarch, Moralia V: 30
  2. ^ Pegs and Ropes: Geometry at Stonehenge
  3. ^ , National Geographic, June 2008 
  4. ^ Heaven by Lisa Miller, (2010), ISBN 978-0-06-055475-0 - page 13.

Historical years

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


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