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Answer: 2008. d(n) is number of divisors of n. I give number of divisors and list them also. The divisors of n = 2008: 1, 2, 4, 8, 251, 502, 1004, 2008 d(2008) = 8 The divisors of n = 2009: 1, 7, 41, 49, 287, 2009 d(2009) = 6

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How many positive integers less than 2008 have an even number of divisors?

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