Problem 14 from prior weeks.

Correct!

Explanation:

Solution:  49 comes next.  This is the series of integers who digits' products are positive perfect squares.  So 11's digits multiplied are 1 x 1 = 1, a perfect square; 14's are 1 x 4 = 4; so the next number after 44 whose digits multiply to a perfect square is 49 (4 x 9 = 36).

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