1) 28 is a perfect number. Justify.
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Step-by-step explanation:
Equivalently, a perfect number is a number that is half the sum of all of its positive divisors including itself; in symbols, σ1(n) = 2n where σ1 is the sum-of-divisors function. For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28.
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Answer:
Perfect number, a positive integer that is equal to the sum of its proper divisors.
Since the divisors of 28 are 1,2,4,7, and 14, and the sum of these numbers is 28, it is a perfect number.
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