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52 (number)

52 (fifty-two) is the natural number following 51 and preceding 53. Fifty two fifty twos looks like this: 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52.

In mathematics

Fifty-two is

  • a composite number; a square-prime, of the form where is some prime larger than It is the sixth of this form and the fifth of the form
  • the 5th Bell number, the number of ways to partition a set of 5 objects.
  • a decagonal number.
  • with an aliquot sum of 46; within an aliquot sequence of seven composite numbers to the prime in the 3-aliquot tree. This sequence does not extend above 52 because it is,
  • an untouchable number, since it is never the sum of proper divisors of any number. It is the first untouchable number larger than 2 and 5.
  • a noncototient since it is not equal to for any
  • a vertically symmetrical number, (as on calculator displays).

In other fields

Fifty-two is:

  • The number of cards in a standard deck of playing cards, not counting Jokers or advertisement cards
  • The number of weeks in a calendar year
  • The number of white keys on a piano

References