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Find All Numbers (Posted on 2006-07-25) Difficulty: 3 of 5
Find all four–digit numbers in which the product of the digits is equal to the sum of the digits, and the number itself is divisible by the sum of its digits.

No Solution Yet Submitted by Ravi Raja    
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Confirmed solution; follow-on problem | Comment 5 of 7 |
I confirmed the 4112 solution via computer.  If you solved this, you may also want to look for a similar condition in 3-digit numbers, 5-digit numbers, and palindromic 5-digit numbers.
  Posted by Mike B on 2006-07-25 23:02:17
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