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betrothed n.  and  pseudoperfect n.

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(max 15 digits)

First numbers that belong to both sets:

48, 140, 1050, 1575, 2024, 5775, 8892, 9504, 62744, 186615, 196664, 199760, 266000, 312620, 526575, 573560, 587460.