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.
I confirmed the 4112 solution via computer. If you solved this, you may also want to look for a similar condition in 3digit numbers, 5digit numbers, and palindromic 5digit numbers.

Posted by Mike B
on 20060725 23:02:17 