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Problem 24 (1997 AJHSME)

AJHSMEHard

From module Arithmetic and Number Theory Basics

Problem

There are positive integers that have these properties:

  • the sum of the squares of their digits is 5050, and
  • each digit is larger than the one to its left. The product of the digits of the largest integer with both properties is

Select an answer

Show me the solution

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