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PUZZLET 213

Cubed Integers Equal Digit Sums

The sum of the digits of 4913 is 17, and 17^3 = 4913.  Can you find any other integers which exhibit this behaviour with cubes?  And with 4th, 5th, 6th, & 7th powers?  Limit your search to integers no greater than 1 billion (10^9).




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