Answer
4000 is not perfect because:
1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 80 + 100 + 125 + 160 + 200 + 250 + 400 + 500 + 800 + 1000 + 2000 ≠ 4000
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