Problem 30 : Digit fifth powers

Problem Statement

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.

Solution

final=[]
for a in range(2,355000):
    s=list(str(a))
    temp=0
    for i in s:
        temp=temp+int(i)**5
    if temp==a:
        final.append(temp)
    
print(sum(final))

Output

443839