Digit fifth powers :Problem 30 : Project Euler

Digit fifth powers :Problem 30 : Project Euler

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.

To get hold of the upper limit see

Digit factorials : Problem 34 : Project Euler

Python Code

 def digitFifthPowers():
    number = 10
    sumNumbers = 0
    digitfifthsum = 0
    while number < 7*9**5+1:
        strnumber = str(number)  
        digitfifthsum = 0
        for i in range(len(strnumber)):
            digitfifthsum = digitfifthsum + int(strnumber[i])**5
            if digitfifthsum > number:
                break
        if digitfifthsum == number:
            sumNumbers = sumNumbers + number
            print number,"Sum of the digits raised 5 is equal to the number itself"
        number = number + 1
    print "Required Sum is",sumNumbers          
digitFifthPowers()