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CentroAmerican
2006 CentroAmerican
4
4
Part of
2006 CentroAmerican
Problems
(1)
Minimum of a sum
Source: Central American Olympiad 2006, Problem 4
4/30/2007
The product of several distinct positive integers is divisible by
2006
2
{2006}^{2}
2006
2
. Determine the minimum value the sum of such numbers can take.