Problem Statement

A Munchausen number is a natural number n the sum of whose digits (in base 10), each raised to the power of itself, equals n. (Munchausen is also spelled: Münchhausen.) For instance:   3435 = 33 + 44 + 33 + 55

Find all Munchausen numbers between   1   and   5000.

Let's start with the solution:

import math

for i in 1..<5000:
  var sum: int64 = 0
  var number = i
  while number > 0:
    var digit = number mod 10
    sum += digit ^ digit
    number = number div 10
  if sum == i:
    echo i