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ABA n.  and  pernicious n.

First numbers that belong to both sets:

18, 24, 50, 72, 81, 98, 160, 162, 192, 200, 242, 288, 324, 375, 384, 392, 578, 648, 722, 800, 896, 968, 1029, 1058, 1152, 1250, 1536, 1568, 1682, 1922, 2178, 2187, 2312, 2450, 2500, 2592, 2888, 3000, 3042, 3200, 3362, 3698, 3872, 4232, 4374, 4608, 4802, 5000, 5120, 5184, 5202, 6050, 6272, 6728, 6962, 7688, 8232, 8450, 8712, 8978, 9248, 9604, 9800, 10082, 10240, 10368, 11552, 11858, 12168, 12288, 12482, 12800, 13448, 14450, 14792, 15138, 15488, 15625, 16562, 16928, 17496, 18050, 18432, 18818, 19208, 20000, 20577, 20808, 21218, 22528, 24000, 24200, 24576, 25088, 25538, 26912, 27848, 29282, 30752, 31250, 32258, 33282, 33800, 34322, 34848, 35912, 36450, 36992, 39200, 40000, 40328, 41472, 42050, 43218, 46208, 47432, 48672, 49152, 49298, 49928, 51200, 53792, 57800, 58564, 59168, 60552, 61952, 65522, 65856, 66248, 67712, 68450, 71442, 72200, 73167, 73728, 74498, 75272, 76832, 80000, 82944, 83232, 84872, 87362, 92450, 94178, 96800, 98304, 99458, 100352, 101250, 102152, 103058, 106496, 106722, 107648, 110450, 111392, 114688, 117128, 123008, 125000, 128625, 129032, 132098, 133128, 134162, 135200, 137288, 138338, 139392, 139968, 143648, 145800, 147968, 153664, 155682, 156800, 161312, 163840, 164616, 165888, 168200, 172872, 176418, 177147, 184832, 188498, 189728, 190962, 192000, 194688, 195938, 197192, 199712, 202500, 203522, 204800, 206763, 215168, 229376, 231200, 236672, 238521, 242208, 243602, 246402, 247808, 254898, 262088, 263538, 264992, 270848, 273800, 278258, 279936, 281250, 285768, 287282, 288800, 293378, 294912, 295245, 296450, 297992, 301088, 307328, 320000, 321602, 328050, 331298, 331776, 332928, 339488, 349448, 357858, 361250, 368082, 369800, 376712, 387200, 396050, 397832, 401408, 403202, 405000, 408608, 412232, 417698, 426888, 430592, 436178, 439922, 441800, 445568, 447458, 458882, 468512, 470450, 474338, 486098, 492032, 499125, 500000, 502002, 516128, 526338, 526848, 528392, 530450, 532512, 536648, 538722, 540800, 549152, 553352, 555579, 557568, 574592, 581042.

Some larger examples :