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Aug. 15, 2012, 10:24 a.m.  muntasir.abid received a praise for Feature of numbers from 0 to 50 and gained 2 points     View
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# Feature of numbers from 0 to 50

Posted by muntasir.abid on on Aug. 14, 2012, 4:02 p.m. 0 is the additive identity . 1 is the multiplicative identity . 2 is the only even prime 3 is the number of spatial dimensions we live in. 4 is the smallest number ofcolors sufficient to color all planar maps. 5 is the number of Platonic solids . 6 is the smallest perfect number . 7 is the smallest number ofsides of a regular polygon that is not constructible by str...aight edge and compass. 8 is the largest cube in the Fibonacci sequence . 9 is the maximum number of cubes that are needed tosum to any positive integer. 10 is the base of our number system. 11 is the largest known multiplicative persistence . 12 is the smallest abundant number . 13 is the number of Archimedian solids . 14 is the smallest evennumber n with no solutions to φ (m) = n. 15 is the smallest composite number n with the property that there is only one group of order n. 16 is the only number of the form x y = y x with x and y being different integers . 17 is the number of wallpaper groups . 18 is the only positive number that is twice the sum of its digits. 19 is the maximum number of 4 th powers needed to sum to any number. 20 is the number of rooted trees with 6 vertices. 21 is the smallest number of distinct squares needed to tile a square . 22 is the number of partitions of 8. 23 is the smallest number of integer -sided boxes that tile abox so that no two boxes share a commonlength. 24 is the largest number divisible by allnumbers lessthan its square root . 25 is the smallest square that can be written as a sum of 2 squares . 26 is the only positive number to be directly between a square and a cube . 27 is the largest number that is the sum of the digitsof its cube . 28 is the 2 nd perfect number . 29 is the 7 th Lucas number . 30 is the largest number with the property that all smaller numbers relatively prime to it are prime . 31 is a Mersenne prime . 32 is the smallest non-trivial 5 th power. 33 is the largest number that is not a sum of distincttriangular numbers . 34 is the smallest number with the property that it and itsneighbors have the same number of divisors . 35 is the number ofhexominoes.36 is the ... hexominoes . 36 is the smallest non-trivial number which is both square and triangular . 37 is the maximum number of 5 th powers needed to sum to any number. 38 is the last Roman numeral when writtenlexicogr aphically. 39 is the smallest number which has 3 different partitions into 3 parts with the same product. 40 is the only number whose letters are in alphabetical order. 41 is a value of n so that x 2 x n takes on prime valuesfor x = 0, 1, 2, ...n-2. 42 is the 5 th Catalan number . 43 is the number of sided 7-iamonds . 44 is the number of derangements of 5 items. 45 is a Kaprekar number . 46 is the number of different arrangements (upto rotation and reflection) of 9 non-attacking queens on a 9×9 chessboard. 47 is the largest number ofcubes that cannot tile a cube . 48 is the smallest number with 10 divisors . 49 is the smallest number with the property that it and itsneighbors are squareful . 50 is the smallest number that can be written as the sum of of 2 squares in 2 ways.

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