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magic constant  and  pseudoperfect n.

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(max 15 digits)

First numbers that belong to both sets:

260, 870, 6924, 16400, 23346, 32020, 55320, 87836, 108030, 131104, 157250, 186660, 256040, 296394, 340780, 442416, 629910, 702520, 864060.