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MathNet 2016-part-05 — 184 problems (EN–VI) Question 91

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 91

Let
$$
N = 2^{15} \cdot 2015.
$$
How many divisors of $N^2$ are strictly smaller than $N$ and do not divide $N$?