Search a number
perfect power  and  Smith n.

First numbers that belong to both sets:

4, 27, 121, 576, 729, 6084, 10201, 17424, 18496, 19683, 36481, 51529, 100489, 124609, 184041, 195364, 410881, 474552, 559504, 674041, 695556, 732736, 887364, 896809, 966289, 988036, 1038361, 1190281, 1238769, 1726596, 1852321, 2166784, 2975625, 3407716, 3613801, 3663396, 3849444, 3888784, 3892729, 4088484, 4309776, 4330561, 4809249, 4875264, 4888521, 5031049, 5225796, 5391684, 5438224, 5461569, 5527201, 5978025, 6517809, 6630625, 6635776, 6780816, 6864400, 6969600, 7059649, 7077888, 7273809, 7414875, 7717284, 7868025, 7946761, 8048569, 8489664, 8567329, 8573184, 8608356, 9150625, 9455625, 9678321, 9960336, 10478169, 10569001, 11042329, 11329956, 11553201, 11737476, 12348196, 12709225, 12909649, 13417569, 13957696, 14837904, 14884164, 14922769, 15342889, 15492096, 15729156, 16654561, 17372224, 17489124, 19607184, 19855936, 20775364, 21836929, 22165264, 22496049, 23941449, 24383844, 25371369, 25512601, 26790976, 26842761, 27783441, 29084449, 29855296, 30536676, 32684089, 33605209, 33918976, 34987225, 36409156, 37283236, 37797904, 37871716, 40386025, 41486481, 41809156, 41886784, 43072969, 45212176, 47872561, 48888064, 51739249, 52229529, 55086084, 55487601, 55965361, 56505289, 56565441, 57108249, 57441241, 58415449, 58905625, 60746436, 61199329, 62099136, 62694724, 62964225, 62980096, 63393444, 64577296, 64963600, 65173329, 65545216, 65853225, 65999376, 66373609, 66879684, 67141636, 67551961, 67831696, 67881121, 68442529, 68740681, 69006249, 69889600, 70291456, 70358544, 71622369, 71825625, 72046144, 72505225, 74857104, 76475025, 77704225, 78393316, 78747876, 78765625, 78907689, 79227801, 80299521, 84143929, 84548025, 84805681, 85137529, 85710564, 86136961, 86936976, 86955625, 87216921, 87815641, 88698724, 89718784, 89756676, 90554256, 90973444, 92582884, 93624976, 93779856, 93799225, 96530625, 97061904, 99281296.