I recently stumbled upon an intriguing theorem that stated that every positive whole number can be expressed as the sum of three palindromic numbers, although it is often far from straightforward to find them.
Can you express the number 6878592 as the sum of three palindromes?
It is the sum of three numbers of 7, 6 and 5 digits respectively, and no digit is repeated except where being a palindrome dictates it:
ABCDCBA + EFGGFE + HJKJH = 6878592