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37th Austrian Mathematical Olympiad 2006

Source: round 3, day1, problem 1

February 10, 2009
functionmodular arithmeticfloor functionnumber theoryrelatively primenumber theory unsolved

Problem Statement

Let N N be a positive integer. How many non-negative integers n≤N n \le N are there that have an integer multiple, that only uses the digits 2 2 and 6 6 in decimal representation?
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