
ZOJ Problem Set  1284
From the article Number Theory in the 1994 Microsoft Encarta: "If a, b, c are integers such that a = bc, a is called a multiple of b or of c, and b or c is called a divisor or factor of a. If c is not 1/1, b is called a proper divisor of a. Even integers, which include 0, are multiples of 2, for example, 4, 0, 2, 10; an odd integer is an integer that is not even, for example, 5, 1, 3, 9. A perfect number is a positive integer that is equal to the sum of all its positive, proper divisors; for example, 6, which equals 1 + 2 + 3, and 28, which equals 1 + 2 + 4 + 7 + 14, are perfect numbers. A positive number that is not perfect is imperfect and is deficient or abundant according to whether the sum of its positive, proper divisors is smaller or larger than the number itself. Thus, 9, with proper divisors 1, 3, is deficient; 12, with proper divisors 1, 2, 3, 4, 6, is abundant." Given a number, determine if it is perfect, abundant, or deficient.
15 28 6 56 60000 22 496 0
PERFECTION OUTPUT Source: MidAtlantic USA 1996 