Answer
8200 is not perfect because:
1 + 2 + 4 + 5 + 8 + 10 + 20 + 25 + 40 + 41 + 50 + 82 + 100 + 164 + 200 + 205 + 328 + 410 + 820 + 1025 + 1640 + 2050 + 4100 ≠ 8200
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