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Cunningham n.  and  wasteful n.

First numbers that belong to both sets:

8, 9, 24, 26, 28, 33, 48, 50, 63, 65, 80, 82, 99, 120, 124, 126, 143, 168, 170, 195, 226, 242, 244, 255, 288, 290, 323, 325, 342, 344, 360, 362, 399, 440, 442, 483, 513, 528, 530, 575, 624, 626, 675, 728, 730, 783, 785, 840, 842, 899, 901, 960, 962, 999, 1001, 1023, 1090, 1155, 1224, 1330, 1332, 1368, 1370, 1443, 1520, 1599, 1680, 1727, 1729, 1848, 1850, 1935, 1937, 2024, 2026, 2115, 2186, 2188, 2196, 2198, 2208, 2210, 2400, 2402, 2499, 2600, 2602, 2703, 2743, 2745, 2808, 2810, 2915, 3024, 3026, 3124, 3126, 3135, 3248, 3250, 3363, 3374, 3376, 3480, 3482, 3601, 3720, 3722, 3843, 3970, 4095, 4097, 4224, 4226, 4355, 4488, 4490, 4623, 4760, 4762, 4899, 4901, 4912, 4914, 5040, 5042, 5185, 5328, 5330, 5475, 5624, 5626, 5775, 5777, 5833, 5928, 5930, 6083, 6085, 6240, 6242, 6401, 6560, 6562, 6725, 6858, 6860, 6888, 6890, 7055, 7224, 7226, 7395, 7397, 7568, 7570, 7743, 7745, 7775, 7777, 7920, 7922, 7999, 8001, 8099, 8193, 8280, 8282, 8463, 8465, 8648, 8650, 8835, 9024, 9026, 9215, 9217, 9260, 9262, 9408, 9410, 9603, 9605, 9800, 9802, 9999, 10200, 10403, 10608, 10610, 10647, 10815, 11024, 11026, 11235, 11448, 11450, 11663, 11880, 11882, 12099, 12166, 12168, 12320, 12322, 12543, 12545, 12768, 12770, 12995, 13224, 13226, 13455, 13688, 13923, 14160, 14399, 14640, 14883, 14885, 15128, 15130, 15624, 15626, 16130, 16383, 16385, 16642, 16806, 16808, 16899, 17160, 17423, 17425, 17575, 17688, 17690, 17955, 18224, 18226, 18495, 18768, 18770, 19043, 19045, 19320, 19599, 19601, 19682, 19684, 19880, 20163, 20165, 20448, 20450, 20735, 21024, 21026, 21315, 21608, 21610, 21903, 21905, 22200, 22202, 22499, 22800, 22802, 23103, 23408, 23410, 23715, 24024, 24026, 24335, 24388, 24390, 24648, 24650, 24963.

Some larger examples :