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2018 PAMO Shortlist: Digits rearranged to form a multiple of $4$

Source: 2018 Pan-African Shortlist - N2

May 6, 2019
number theoryDivisibilityDigits

Problem Statement

A positive integer is called special if its digits can be arranged to form an integer divisible by 44. How many of the integers from 11 to 20182018 are special?
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