From Wikipedia, the free encyclopedia
Natural number
Cardinal two hundred fifty-two
Ordinal 252nd (two hundred fifty-second)
Factorization 22 × 32 × 7
Divisors 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greek numeral ΣΝΒ´
Roman numeral CCLII
Binary 111111002
Ternary 1001003
Senary 11006
Octal 3748
Duodecimal 19012
Hexadecimal FC16
252 (two hundred [and] fifty-two ) is the
natural number following
251 and preceding
253 .
In mathematics
252 is:
1
3
+
2
3
+
3
3
+
6
3
=
(
1
3
+
2
3
)
(
1
3
+
3
3
)
=
252.
{\displaystyle 1^{3}+2^{3}+3^{3}+6^{3}=(1^{3}+2^{3})(1^{3}+3^{3})=252.}
There are 252 points on the surface of a
cuboctahedron of radius five in the
face-centered cubic 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
^
Sloane, N. J. A. (ed.).
"Sequence A000984 (Central binomial coefficients)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000594 (Ramanujan's tau function)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
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.
^
Sloane, N. J. A. (ed.).
"Sequence A005153 (Practical numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
"Sloane's A033950 : Refactorable numbers" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. 2016-04-18. Retrieved 2016-04-18 .
^
Sloane, N. J. A. (ed.).
"Sequence A002412 (Hexagonal pyramidal numbers, or greengrocer's numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
"Sloane's A005282 : Mian-Chowla sequence" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. 2016-04-19. Retrieved 2016-04-19 .
^
Sloane, N. J. A. (ed.).
"Sequence A005901 (Number of points on surface of cuboctahedron)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
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.
^
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.
^
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.
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000