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Mar112008

03:39:42 pm
maths magic
153, 370, 371 and 407 are all equal to the sums of the cubes of their digits.
(e.g. 153 = 13 + 53 +33 = 1 + 125 + 27)
1,634 = 14 + 64 + 34 + 44 = 1 + 1296 + 81 + 256
8,208 = 84 + 24 + 04 + 84 = 4096 + 16 + 0 + 4096
9,474 = 94 + 44 + 74 + 44 = 6561 + 256 + 2401 + 256

4,150 = 45 + 15 + 55 + 05 = 1024 + 1 + 3125 + 0
4,151 = 45 + 15 + 55 + 15 = 1024 + 1 + 3125 + 1
54,748 = 55 + 45 +75 +45 + 85 = 3125 + 1024 + 16807 + 1024 + 32768
92,727 = 95 + 25 + 75 + 25 + 75
93,084 = 95 + 35 + 05 + 85 + 45

548,834 = 56 + 46 + 86 + 86 + 36 + 46

...

1,741,725 = 17 + 77 + 47 + 17 + 77 + 27 + 57
4,210,818 = 47 + 27 + 17 + 07 + 87 + 17 + 87
9,800,817 = 97 + 87 + 07 + 07 + 87 + 17 + 77
9,926,315 = 97 + 97 + 27 + 67 + 37 + 17 + 57

24,678,050 = 28 + 48 + 68 + 78 + 88 + 08 + 58 + 08

146511208, 472335975, 534494836, 912985153 are all equal to sums of the 9th powers of their digits.

4679307774 is equal to the sum of the 10th power of its digits.

3,435 is equal to the sums of the digits raised to the powers of themselves i.e. 3,435 = 33 +44 +33 +55.

......

115,132,219,018,763,992,565,095,597,973,971,522,401 has 39 digits AND it is the sum of the 39th powers of its digits.
In other words it equals 139 +139 +539 +139 +339 + ... +439 +039 +139.

AND FINALLY... 40,585 is the sum of the factorials of its digits so 4! + 0! + 5! + 8! + 5! = 40,585


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