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What is the smallest positive integer with exactly 12 (positive) divisors?

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  1. 36 (2^2 3^2) seems likely
    1 2 3 4 6 9 12 18 36 nope

    48 (2^4 3^1)?
    1 2 3 4 6 8 12 16 24 48 nope

    72 (2^3 3^2)?
    1 2 3 4 6 8 9 12 18 24 36 72
    Yes

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