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2011 Lusophon Mathematical Olympiad - Problem 2

Source: 2011 Lusophon Mathematical Olympiad - Problem 2

September 17, 2011
modular arithmeticinequalitiesnumber theory proposednumber theory

Problem Statement

A non-negative integer nn is said to be squaredigital if it equals the square of the sum of its digits. Find all non-negative integers which are squaredigital.