252 (number)

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← 251 252 253 →
Cardinaltwo hundred fifty-two
Ordinal252nd
(two hundred fifty-second)
Factorization22× 32× 7
Divisors1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greek numeralΣΝΒ´
Roman numeralCCLII
Binary111111002
Ternary1001003
Quaternary33304
Quinary20025
Senary11006
Octal3748
Duodecimal19012
HexadecimalFC16
VigesimalCC20
Base 367036

252 (two hundred [and] fifty-two) is the natural number following 251 and preceding 253.

In mathematics[edit]

252 is:

There are 252 points on the surface of a cuboctahedron of radius five in the fcc lattice,[8] 252 ways of writing the number 4 as a sum of six squares of integers,[9] 252 ways of choosing four squares from a 4×4 chessboard up to reflections and rotations,[10] and 252 ways of placing three pieces on a Connect Four board.[11]

References[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A000984 (Central binomial coefficients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000594 (Ramanujan's tau function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A001158 (sigma_3(n): sum of cubes of divisors of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A033950 : Refactorable numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-04-18. Retrieved 2016-04-18.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A002412 (Hexagonal pyramidal numbers, or greengrocer's numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-04-19. Retrieved 2016-04-19.
  8. ^ Sloane, N. J. A. (ed.). "Sequence A005901 (Number of points on surface of cuboctahedron)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ Sloane, N. J. A. (ed.). "Sequence A000141 (Number of ways of writing n as a sum of 6 squares)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ Sloane, N. J. A. (ed.). "Sequence A019318 (Number of inequivalent ways of choosing n squares from an n X n board, considering rotations and reflections to be the same)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ^ Sloane, N. J. A. (ed.). "Sequence A090224 (Number of possible positions for n men on a standard 7 X 6 board of Connect-Four)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.