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2009 CentroAmerican
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2009 CentroAmerican
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Easy calculation
Source: Problem 1, Centroamerian Olympiad 2009
10/7/2009
Let
P
P
P
be the product of all non-zero digits of the positive integer
n
n
n
. For example, P(4) \equal{} 4, P(50) \equal{} 5, P(123) \equal{} 6, P(2009) \equal{} 18. Find the value of the sum: P(1) + P(2) + ... + P(2008) + P(2009).
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