Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.



In [56]:

    
5*9**5









    Out[56]:





295245



In [62]:

    
def calc(p):
    n = {str(i):i**p for i in range(0, 10)}
    a = []
    for i in range(2, len(str(p*9**p))*(9**p)):
        s = sum(n[i] for i in str(i))
        if s == i and i > 9:
            print(i)
            a.append(i)
    return sum(a)



In [63]:

    
calc(4)



In [64]:

    
calc(5)