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SMO 2022 Open Round 1 Question 16

SMO · SMO 2022 Open Round 1

Question 16

Find the largest integer $n$ such that $n^2+5n-9486=10s(n)$, where $s(n)$ is the product of all digits of $n$ in its decimal representation. (For example, $s(481)=4\times8\times1=32$.)