443839
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.
1linkdef digits_to_power(number, power):
2link total = 0
3link for n in str(number):
4link total += int(n)**power
5link
6link if number == total:
7link return number
8link else:
9link return 0
10link
11linktotal = 0
12linkfor i in range(2, 295245): # limit is computed as 5 * 9**5
13link total += digits_to_power(i, 5)
14link
15linkprint(total)
443839