Yes. The only known almost perfect numbers are the powers of 2. 32 = 2^5 is an almost perfect number. It has not yet been proved whether {x: x = 2^n for n in N} = {x: x is an almost perfect number}.
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32 is not Perfect.
No. The only known almost perfect numbers are the powers of 2, namely 1, 2, 4, 8, 16, 32, ...
No.
No, because 32 is not a perfect square.
16 2*16 = 32