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سوال :
Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 1[SUP]4[/SUP] + 6[SUP]4[/SUP] + 3[SUP]4[/SUP] + 4[SUP]4[/SUP]
8208 = 8[SUP]4[/SUP] + 2[SUP]4[/SUP] + 0[SUP]4[/SUP] + 8[SUP]4[/SUP]
9474 = 9[SUP]4[/SUP] + 4[SUP]4[/SUP] + 7[SUP]4[/SUP] + 4[SUP]4[/SUP]
As 1 = 1[SUP]4[/SUP] is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of fifth powers of their digits