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).

{4, 10, 233, 1000, 1991}

133121₄ = 2009₁₀ = 92₂₃₃ = 29₁₀₀₀ = 1I₁₉₉₁

Posted by Dej Mar on 2010-06-14 15:30:05