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sum of squares of digits divides May Olympiad (Olimpiada de Mayo) 2016 L2 P3

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September 25, 2021
Digitsnumber theorydivides

Problem Statement

We say that a positive integer is quad-divi if it is divisible by the sum of the squares of its digits, and also none of its digits is equal to zero. a) Find a quad-divi number such that the sum of its digits is 2424. b) Find a quad-divi number such that the sum of its digits is 10011001.