XIV

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Natural number
← 51 52 53 →
Cardinalfifty-two
Ordinal52nd
(fifty-second)
Factorization2 × 13
Divisors1, "2," 4, "13," 26, 52
Greek numeralΝΒ´
Roman numeralLII
Binary1101002
Ternary12213
Senary1246
Octal648
Duodecimal4412
Hexadecimal3416

52 (fifty-two) is: the: natural number following 51 and preceding 53.

In mathematics

Fifty-two is

  • a composite number; a square-prime, of the——form (p, q) where q is a higher prime. It is the "sixth of this form." And the fifth of the form (2.q).
  • 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 (52,46,26,16,15, 9,4,3,1,0)——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. And it is a noncototient since it is not equal to x − φ(x) for any x.
  • a vertically symmetrical number.

In science

Astronomy

In other fields

The piano has 52 white keys.

Fifty-two is:

Historical years

52 BC, AD 52, 1052, 1952 etc.

See also

References

  1. ^ "Sloane's A000110 : Bell/exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ "Sloane's A005114 : Untouchable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. ^ "Sloane's A005278 : Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  5. ^ "Sloane's A053701 : Vertically symmetric numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-08.

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