A perfect number is a positive integer that is equal to the sum of its proper divisors. A proper divisor is a positive integer other than the number itself that divides the number evenly (i. e., no remainder). For example. 6 is a perfect number because the sum of its proper divisors 1. 2. and 3 is equal to 6. Eight is not a perfect number because 1 + 2 + 4 notequalto 8. Write a program that accepts a positive integer and determines whether the number is perfect. Also display all proper divisors of the number. Try a number between 20 and 30 and another number between 490 and 500. Write a program that displays all integers between tow and high that are the sum of the cube of their digits. In other words, find all numbers xyz such that xyz = x^3 + y^3 + z^3 for example 153 = 1^3 + 5^3+ 3^3.