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deficient n.  and  nude n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 7, 8, 9, 11, 15, 22, 33, 44, 55, 77, 99, 111, 115, 122, 124, 128, 135, 155, 175, 184, 212, 244, 248, 315, 333, 412, 424, 488, 515, 555, 735, 777, 824, 848, 999, 1111, 1112, 1113, 1115, 1124, 1131, 1155, 1197, 1222, 1244, 1311, 1335, 1395, 1412, 1424, 1444, 1448, 1515, 1555, 1715, 1771, 1935, 2122, 2144, 2222, 2224, 2248, 2444, 2488, 2824, 2848, 2888, 3111, 3135, 3171, 3195, 3315, 3333, 3339, 3393, 3555, 3717, 3915, 3933, 4112, 4124, 4184, 4244, 4412, 4444, 4448, 5115, 5155, 5515, 5535, 5555, 7119, 7175, 7371, 7777, 8144, 8224, 8248, 8488, 8824, 9315, 9333, 9999, 11111, 11115, 11122, 11133, 11155, 11212, 11222, 11224, 11313, 11331, 11355, 11444, 11488, 11515, 11535, 11555, 11711, 11824, 11848, 11888, 12112, 12122, 12128, 12184, 12212, 12224, 12244, 12248, 12412, 12424, 12448, 13113, 13131, 13155, 13311, 13335, 13377, 13515, 13713, 13755, 13797, 13995, 14128, 14444, 14488, 14888, 15115, 15135, 15155, 15315, 15515, 15555, 15575, 15715, 17115, 17122, 17171, 17199, 17535, 17717, 18112, 18184, 18248, 18448, 18488, 19395, 19719, 19935, 19971, 21122, 21124, 21128, 21184, 21212, 21244, 21412, 21848, 22112, 22124, 22184, 22222, 22244, 22412, 22424, 22444, 22888, 24124, 24184, 24212, 24224, 24412, 24424, 24488, 24824, 24848, 28144, 28888, 31113, 31131, 31155, 31311, 31335, 31515, 31731, 31773, 31995, 33111, 33117, 33135, 33315, 33333, 33399, 33555, 33939, 33993, 35115, 35175, 35355, 35535, 35595, 35955, 37317, 37737, 39195, 39339, 39393, 39555, 39915, 39933, 41128, 41144, 41212, 41224, 41248, 41444, 41488, 41824, 41848, 42124, 42128, 42184, 42212, 42244, 42248, 42412, 42424, 42488, 42824, 44224, 44248, 44444, 44488, 44848, 44888, 48184, 48248, 48424, 48448, 48824, 51115, 51135, 51155, 51315, 51515, 51555, 53115, 53355, 53535, 53595, 53955, 55115, 55155.

Some larger examples :