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Search a number
amenable n.  and  cubic n.

First numbers that belong to both sets:

1, 8, 64, 125, 216, 512, 729, 1000, 1728, 2197, 2744, 4096, 4913, 5832, 8000, 9261, 10648, 13824, 15625, 17576, 21952, 24389, 27000, 32768, 35937, 39304, 46656, 50653, 54872, 64000, 68921, 74088, 85184, 91125, 97336, 110592, 117649, 125000, 140608, 148877, 157464, 175616, 185193, 195112, 216000, 226981, 238328, 262144, 274625, 287496, 314432, 328509, 343000, 373248, 389017, 405224, 438976, 456533, 474552, 512000, 531441, 551368, 592704, 614125, 636056, 681472, 704969, 729000, 778688, 804357, 830584, 884736, 912673, 941192, 1000000, 1030301, 1061208, 1124864, 1157625, 1191016, 1259712, 1295029, 1331000, 1404928, 1442897, 1481544, 1560896, 1601613, 1643032, 1728000, 1771561, 1815848, 1906624, 1953125, 2000376, 2097152, 2146689, 2197000, 2299968, 2352637, 2406104, 2515456, 2571353, 2628072, 2744000, 2803221, 2863288, 2985984, 3048625, 3112136, 3241792, 3307949, 3375000, 3511808, 3581577, 3652264, 3796416, 3869893, 3944312, 4096000, 4173281, 4251528, 4410944, 4492125, 4574296, 4741632, 4826809, 4913000, 5088448, 5177717, 5268024, 5451776, 5545233, 5639752, 5832000, 5929741, 6028568, 6229504, 6331625, 6434856, 6644672, 6751269, 6859000, 7077888, 7189057, 7301384, 7529536, 7645373, 7762392, 8000000, 8120601, 8242408, 8489664, 8615125, 8741816, 8998912, 9129329, 9261000, 9528128, 9663597, 9800344, 10077696, 10218313, 10360232, 10648000, 10793861, 10941048, 11239424, 11390625, 11543176, 11852352, 12008989, 12167000, 12487168, 12649337, 12812904, 13144256, 13312053, 13481272, 13824000, 13997521, 14172488, 14526784, 14706125, 14886936, 15252992, 15438249, 15625000, 16003008, 16194277, 16387064, 16777216, 16974593, 17173512, 17576000, 17779581, 17984728, 18399744, 18609625, 18821096, 19248832, 19465109, 19683000, 20123648, 20346417, 20570824, 21024576, 21253933, 21484952, 21952000, 22188041, 22425768, 22906304, 23149125, 23393656, 23887872, 24137569, 24389000, 24897088, 25153757, 25412184, 25934336, 26198073, 26463592, 27000000, 27270901, 27543608, 28094464, 28372625, 28652616, 29218112, 29503629, 29791000, 30371328, 30664297, 30959144, 31554496, 31855013, 32157432, 32768000, 33076161, 33386248, 34012224, 34328125, 34645976, 35287552, 35611289, 35937000, 36594368, 36926037, 37259704, 37933056, 38272753, 38614472, 39304000, 39651821, 40001688, 40707584, 41063625, 41421736, 42144192, 42508549, 42875000, 43614208, 43986977, 44361864, 45118016, 45499293, 45882712, 46656000, 47045881, 47437928, 48228544, 48627125, 49027896, 49836032, 50243409, 50653000, 51478848, 51895117.

Some larger examples :