'''
Euler Problem 30

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.

'''

def isFifthPowerSum(num):
    fifthPowSum = 0
    for digit in str(num):
        fifthPow = int(digit) ** 5
        fifthPowSum += fifthPow

    if fifthPowSum == num:
        return True
    else:
        return False

fifthPowerSumsTotalSum = 0
                       
for i in range(2,1000000):
    if isFifthPowerSum(i):
        fifthPowerSumsTotalSum += i

print fifthPowerSumsTotalSum
        
        
        

4fb7060fbbb4ba9164cbd82b56a4bebc5c5d4785
'''
Euler Problem 30

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.

'''

def isFifthPowerSum(num):
    fifthPowSum = 0
    for digit in str(num):
        fifthPow = int(digit) ** 5
        fifthPowSum += fifthPow

    if fifthPowSum == num:
        return True
    else:
        return False

fifthPowerSumsTotalSum = 0
                       
for i in range(2,1000000):
    if isFifthPowerSum(i):
        fifthPowerSumsTotalSum += i

print fifthPowerSumsTotalSum
        
        
        
