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Lehmer n.  and  wasteful n.

First numbers that belong to both sets:

51, 85, 91, 247, 255, 435, 451, 481, 561, 595, 703, 763, 771, 949, 1105, 1111, 1417, 1615, 1695, 1729, 2071, 2091, 2119, 2431, 2465, 2509, 2761, 2821, 2955, 3097, 3145, 3277, 3367, 3655, 3667, 3855, 4033, 4141, 4369, 4411, 4681, 4795, 4921, 5083, 5151, 5461, 5551, 5611, 5629, 5713, 6031, 6205, 6331, 6601, 6643, 6735, 7051, 7141, 7471, 7501, 7735, 7957, 8071, 8119, 8227, 8245, 8401, 8481, 8695, 8827, 8911, 8995, 9061, 9079, 9139, 9211, 9253, 9265, 9367, 9605, 9709, 9919, 9997, 10795, 11305, 12801, 13107, 13651, 13741, 13855, 13981, 14497, 14833, 14911, 14989, 15051, 15181, 16405, 16471, 16705, 16745, 16861, 17563, 17611, 17733, 17767, 18031, 18745, 18967, 19669, 20451, 20595, 20995, 21037, 21679, 21845, 21907, 21931, 22015, 22261, 22321, 22359, 23001, 23959, 24415, 24643, 24661, 24871, 25351, 25669, 26335, 26467, 26923, 27331, 27511, 27721, 28231, 28645, 29341, 30481, 30583, 30889, 31459, 31611, 31621, 32215, 32407, 32691, 33709, 34441, 35113, 35371, 36091, 36391, 36499, 36751, 36805, 37231, 37921, 38165, 38503, 39091, 39403, 39491, 39817, 39831, 39865, 40261, 40501, 40885, 40921, 41041, 41245, 41395, 41881, 42127, 42217, 42661, 42799, 43387, 43435, 43621, 44011, 44317, 44941, 45551, 45991, 46657, 47055, 47197, 47545, 47671, 47989, 48133, 49045, 49051, 49141, 49155, 49231, 49267, 49987, 50251, 50557, 50737, 50881, 51319, 52429, 52507, 52633, 52801, 53083, 53131, 53983, 54223, 54691, 54741, 55423, 55471, 55537, 55651, 55699, 55831, 56551, 56661, 56797, 57205, 57589, 57715, 59641, 59755, 61249, 62745, 62893, 63139, 63631, 63973, 64201, 64345, 64741, 64771, 64855, 65311, 65365, 65535, 65641, 65683, 66991, 67771, 68101, 68191, 68251, 68341, 68619, 69231, 69601, 69751, 69781, 69979, 70579, 71905, 72535, 72583, 72631, 73261, 73555, 73801, 73891, 74011, 74665, 75055, 75361, 76627, 76741, 76921, 77161, 77871, 78013, 78403, 79003, 79381.

Some larger examples :