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ABA n.  and  Ulam n.

First numbers that belong to both sets:

8, 18, 72, 324, 722, 800, 1536, 1682, 2178, 3698, 3872, 5184, 8192, 12482, 15138, 15488, 17298, 18432, 21218, 49298, 65522, 84872, 88200, 101250, 102152, 103058, 106496, 108578, 110450, 140450, 163592, 167042, 172872, 177957, 188498, 192000, 198450, 253472, 278258, 304200, 311469, 313632, 323208, 342792, 349448, 352800, 352947, 376712, 381938, 383688, 419528, 436178, 460800, 504008, 581042, 609408, 663552, 796322, 895122, 985527, 996872, 1011042, 1022450, 1283202, 1292832, 1305728, 1318688, 1364552, 1397792, 1421298, 1423656, 1445000, 1503378, 1513800, 1520768, 1527752, 1534752, 1616402, 1641672, 1744712, 1752192, 1759688, 1770962, 1778112, 1812608, 1843200, 1870178, 1897352, 1916882, 2012018, 2044242, 2048288, 2101250, 2105352, 2154888, 2268450, 2585538, 2608328, 2689120, 2894418, 3025800, 3055392, 3060338, 3090903, 3195392, 3307592, 3591200, 3694084, 3830912, 3903218, 3914402, 3920000, 3931208, 4044168, 4170272, 4181832, 4187618, 4274888, 4386722, 4542098, 4712450, 4786418, 4804839, 4842272, 4848498, 4923522, 5184000, 5320322, 5582601, 5591168, 5685192, 5780000, 5786802, 5827698, 5834528, 5937458, 5999648, 6002500, 6083072, 6209288, 6265800, 6287058, 6291456, 6315458, 6377292, 6401042, 6480000, 6744273, 6978848, 7008768, 7031250, 7083848, 7098912, 7159328, 7212402, 7242818, 7265672, 7334450, 7365122, 7488450, 7636232, 7667528, 7706738, 7777568, 7856648, 8000000, 8088242, 8136578, 8152722, 8241800, 8446050, 8487200, 8536712, 8619552, 8761298, 8772621, 8803208, 9227808, 9447840, 9662408, 9671202, 9688802, 9725376, 9785888, 9990450.