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tmua.me Extreme Set A Paper 1 · Q3

Paper 1Number & counting

A positive integer NN has exactly six positive divisors that are perfect squares and exactly four positive divisors that are perfect cubes. In each count, 11 is included.

What is the smallest possible value of NN?

A144144
B216216
C432432
D648648
E864864
F10241024

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