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amenable n.  and  hex n.

First numbers that belong to both sets:

1, 37, 61, 169, 217, 397, 469, 721, 817, 1141, 1261, 1657, 1801, 2269, 2437, 2977, 3169, 3781, 3997, 4681, 4921, 5677, 5941, 6769, 7057, 7957, 8269, 9241, 9577, 10621, 10981, 12097, 12481, 13669, 14077, 15337, 15769, 17101, 17557, 18961, 19441, 20917, 21421, 22969, 23497, 25117, 25669, 27361, 27937, 29701, 30301, 32137, 32761, 34669, 35317, 37297, 37969, 40021, 40717, 42841, 43561, 45757, 46501, 48769, 49537, 51877, 52669, 55081, 55897, 58381, 59221, 61777, 62641, 65269, 66157, 68857, 69769, 72541, 73477, 76321, 77281, 80197, 81181, 84169, 85177, 88237, 89269, 92401, 93457, 96661, 97741, 101017, 102121, 105469, 106597, 110017, 111169, 114661, 115837, 119401, 120601, 124237, 125461, 129169, 130417, 134197, 135469, 139321, 140617, 144541, 145861, 149857, 151201, 155269, 156637, 160777, 162169, 166381, 167797, 172081, 173521, 177877, 179341, 183769, 185257, 189757, 191269, 195841, 197377, 202021, 203581, 208297, 209881, 214669, 216277, 221137, 222769, 227701, 229357, 234361, 236041, 241117, 242821, 247969, 249697, 254917, 256669, 261961, 263737, 269101, 270901, 276337, 278161, 283669, 285517, 291097, 292969, 298621, 300517, 306241, 308161, 313957, 315901, 321769, 323737, 329677, 331669, 337681, 339697, 345781, 347821, 353977, 356041, 362269, 364357, 370657, 372769, 379141, 381277, 387721, 389881, 396397, 398581, 405169, 407377, 414037, 416269, 423001, 425257, 432061, 434341, 441217, 443521, 450469, 452797, 459817, 462169, 469261, 471637, 478801, 481201, 488437, 490861, 498169, 500617, 507997, 510469, 517921, 520417, 527941, 530461, 538057, 540601, 548269, 550837, 558577, 561169, 568981, 571597, 579481, 582121, 590077, 592741, 600769, 603457, 611557, 614269, 622441, 625177, 633421, 636181, 644497, 647281, 655669, 658477, 666937, 669769, 678301, 681157, 689761, 692641, 701317, 704221, 712969, 715897, 724717, 727669, 736561, 739537, 748501, 751501, 760537, 763561, 772669, 775717, 784897, 787969, 797221, 800317, 809641, 812761, 822157, 825301, 834769, 837937, 847477, 850669, 860281, 863497, 873181, 876421, 886177, 889441, 899269, 902557, 912457, 915769, 925741, 929077, 939121.

Some larger examples :