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MathNet 2019-part-03 — 184 problems (EN–VI) Question 148

Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)

Question 148

Alessandra writes in the notebook (Luigi's) all natural numbers $n$ that have both of the following properties: $n$ has exactly 4 positive divisors (including 1 and $n$ itself), and the sum of the positive divisors of $n$ is 42. What is the sum of all the numbers written by Alessandra?

(A) 0
(B) 12
(C) 20
(D) 26
(E) 42