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PUZZLET 016

Multiples of Numbers from Powers of their Digits
Find a 5-digit integer such that the sum of the cube of the integer formed from its first 2 digits and the square of the integer formed from its last 3 digits generates a new integer which is an exact multiple of the original integer. 

Example:  38463: 383 + 4632 = 269241 = 7*38463

How many othersolutions can you find?




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Last Updated: January 7th, 2010.