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| {{Infobox number
| | The name of the author is Garland. The job he's been occupying for many years is a messenger. Her spouse and her selected to reside in Alabama. To play croquet is the pastime I will never quit performing.<br><br>Check out my webpage - [http://www.Undaheaven.de/index.php?mod=users&action=view&id=11659 www.Undaheaven.de] |
| | number = 252
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| | divisor = 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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| '''252''' ('''two hundred fifty two''') is the [[natural number]] following [[251 (number)|251]] and preceding [[253 (number)|253]]. | |
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| 252 is the [[central binomial coefficient]] <math>\tbinom{10}{5}</math>,<ref>{{SloanesRef|A000984|name=Central binomial coefficients}}</ref> and is <math>\tau(3)</math>, where <math>\tau</math> is the [[Ramanujan tau function]].<ref>{{SloanesRef|A000594|name=Ramanujan's tau function}}</ref> 252 is also <math>\sigma_3(6)</math>, where <math>\sigma_3</math> is the [[Divisor function|function that sums the cubes of the divisors]] of its argument::<ref>{{SloanesRef|A001158|name=sigma_3(n): sum of cubes of divisors of n}}</ref>
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| :<math>1^3+2^3+3^3+6^3=(1^3+2^3)(1^3+3^3)=252.</math>
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| It is a [[practical number]],<ref>{{SloanesRef|A005153|name=Practical numbers}}</ref> and a [[hexagonal pyramidal number]].<ref>{{SloanesRef|A002412|name=Hexagonal pyramidal numbers, or greengrocer's numbers}}</ref> There are 252 points on the surface of a [[cuboctahedron]] of radius five in the fcc lattice,<ref>{{SloanesRef|A005901|name=Number of points on surface of cuboctahedron}}</ref> 252 ways of writing the number 4 as a sum of six squares of integers,<ref>{{SloanesRef|A000141|name=Number of ways of writing n as a sum of 6 squares}}</ref> 252 ways of choosing four squares from a 4×4 chessboard up to reflections and rotations,<ref>{{SloanesRef|A019318|name=Number of inequivalent ways of choosing n squares from an n X n board, considering rotations and reflections to be the same}}</ref> and 252 ways of placing four pieces on a [[Connect Four]] board.<ref>{{SloanesRef|A090224|name=Number of possible positions for n men on a standard 7 X 6 board of Connect-Four}}</ref>
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| ==References==
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| {{reflist}}
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| [[Category:Integers]]
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| {{number-stub}}
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Latest revision as of 00:28, 9 August 2014
The name of the author is Garland. The job he's been occupying for many years is a messenger. Her spouse and her selected to reside in Alabama. To play croquet is the pastime I will never quit performing.
Check out my webpage - www.Undaheaven.de