ProjectEuler#30 Digit fifth powers

#Surprisingly there are only three numbers that can be written as the sum of
#fourth powers of their digits:

#    1634 = 1**4 + 6**4 + 3**4 + 4**4
#    8208 = 8**4 + 2**4 + 0**4 + 8**4
#    9474 = 9**4 + 4**4 + 7**4 + 4**4

#As 1 = 1**4 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.

#A Perfect Digital Invariant (PDI) is an integer, the sum of whose digits,
#each raised to the same integral power, equals the number itself.

def dSumP5(n):
    acc = 0
    for i in str(n):
        acc += int(i)**5
    return acc

limit = 6*(9**5)
PDI = []
acc = 0
for i in range(2,limit+1):
    if i == dSumP5(i):
        PDI.append(i)
        acc += i

print PDI, acc