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.
In [1]:
nums = []
for i in range(2,1000000):
d = [int(c) for c in str(i)]
s = sum(map(lambda x: x**5, d))
if i == s:
print i
nums.append(i)
print sum(nums)
In [ ]: