perplexus.info :: Numbers : Product Digit Poser

Product Digit Poser (Posted on 2010-06-13)

Determine all possible values of a positive integer N such that the product of the nonzero digits in the base-N representation of 2009 (base ten) is equal to 18 (base ten).

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

base representation 4 : 1 3 3 1 2 1 10 : 2 0 0 9 223 : 9 2 1000 : 2 9 1991 : 1 18

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Subject	Author	Date
solution	Dej Mar	2010-06-14 15:30:05
Analytical observations (partial spoiler)	Steve Herman	2010-06-13 15:22:41
Excel solution (spoiler)	Steve Herman	2010-06-13 15:03:37
post-solution hint (no spoiler)	Charlie	2010-06-13 14:45:57
computer solution (spoiler)	Charlie	2010-06-13 14:43:10

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