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evil n.  and  Friedman n.

First numbers that belong to both sets:

125, 126, 153, 216, 343, 347, 688, 736, 1206, 1260, 1285, 1530, 1827, 2349, 2501, 2502, 2505, 2506, 2508, 2737, 2916, 3125, 3281, 3375, 3378, 3784, 3864, 3972, 4536, 4628, 5120, 5832, 6144, 6455, 6880, 9216, 9261, 10255, 10521, 10575, 11025, 11664, 11844, 11848, 12060, 12091, 12101, 12102, 12105, 12106, 12108, 12288, 12321, 12384, 12546, 12600, 12762, 12768, 12798, 12802, 12850, 12955, 12964, 12996, 13176, 13225, 13243, 13545, 13813, 13823, 13824, 13842, 13950, 14129, 14168, 14256, 14350, 14352, 14645, 15125, 15300, 15345, 15378, 15435, 15495, 15552, 15562, 15567, 15585, 15586, 15612, 15615, 15617, 15618, 15620, 15623, 15624, 15627, 15629, 15632, 15635, 15641, 15642, 15689, 15697, 15698, 15795, 15975, 16272, 16347, 16368, 16374, 16377, 16378, 16385, 16448, 16759, 16765, 16794, 16815, 16875, 17325, 17328, 17346, 17428, 17437, 17488, 17689, 18265, 18432, 18435, 18522, 18723, 18744, 19026, 19215, 19392, 19629, 19642, 19683, 19692, 19732, 19736, 19739, 20485, 21586, 21843, 21845, 21943, 21952, 22757, 23328, 23490, 23552, 24385, 24546, 24566, 24576, 24586, 24768, 24972, 25137, 25474, 25510, 25895, 25921, 26238, 26244, 26364, 26496, 27436, 27634, 27639, 27648, 27653, 27654, 27783, 28224, 28322, 28476, 28671, 28674, 28728, 28784, 29160, 29184, 29519, 29524, 29527, 29531, 29549, 29768, 29795, 31347, 31590, 32685, 32697, 32751, 32759, 32765, 32772, 32775, 32781, 32782, 32805, 32815, 32832, 32835, 32849, 32855, 32859, 32865, 32875, 32885, 32895, 33495, 34425, 34986, 34991, 34993, 34996, 35726, 35782, 35928, 35933, 35937, 36457, 36549, 36850, 36855, 36864, 36918, 37179, 37187, 37449, 37668, 37875, 38424, 38427, 38637, 38640, 38856, 39216, 39288, 39294, 39304, 39328, 39343, 39358, 39363, 39366, 39369, 39372, 39424, 39784, 39945, 41323, 41665, 42025, 42336, 42898, 43264, 43375, 43689, 43692, 43775, 44375, 44977, 45360, 45363, 45365, 45366, 45369, 45684, 45760, 45873, 45927, 45957, 46368, 46556.

Some larger examples :