Solution to Project Euler Problem 30: Digit fifth powers - Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits: As 1 = 1^4 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.


Updated: April 11, 2021 — Training Time: 2 minutes
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Topic: Project Euler Problem 30: Digit fifth powers.

Difficulty: Easy.

Objective: Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 14 + 64 + 34 + 44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44
As 1 = 14 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.

Input: None.

Expected Output: 443839.

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