MathDB
CHMMC 2021-22 Proof 2

Source:

September 1, 2022
number theory

Problem Statement

For any positive integer nn, let p(n)p(n) be the product of its digits in base-1010 representation. Find the maximum possible value of p(n)n\frac{p(n)}{n} over all integers n≥10n \ge 10.
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