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Product Digit Poser (Posted on 2010-06-13) Difficulty: 3 of 5
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).

No Solution Yet Submitted by K Sengupta    
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Solution Excel solution (spoiler) | Comment 3 of 5 |

Well, the obvious solutions are:

base 10         2-0-0-9
base 1000     2-9
base 1991     1-18

Using excel, I also found

base 4    3-3-1-2-1
base 223      9-2

  Posted by Steve Herman on 2010-06-13 15:03:37
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