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frugal n.  and  taxicab n.

First numbers that belong to both sets:

134379, 2991816, 3628233, 3798613, 4505949, 5832729, 7091712, 10811017, 11548089, 11855727, 11859211, 12650337, 13731319, 16797375, 16809984, 22754277, 23934528, 27015625, 27882127, 28149336, 28658448, 29025864, 33652736, 34031907, 45440551, 46091997, 56733696, 64421875, 68802048, 74097261, 80779032, 96860043, 97962291, 99768753, 100270592, 102562551, 105343875, 107872128, 108904581, 109850552, 110605824, 110808000, 116215603, 119164409, 121660623, 121818816, 124868952, 134171875, 134479872, 137467603, 142768089, 144404416, 147051693, 157483683, 161021952, 173741841, 176252608, 176773625, 178858449, 179509967, 180357632, 182034216, 191476224, 203415121, 225194688, 229267584, 232206912, 242054414, 243111232, 244095488, 250048000, 257408333, 258453979, 263094272, 264866112, 269221888, 274586347, 288380736, 289063593, 293493213, 295230663, 295985664, 299634309, 303640064, 304057152, 311798403, 320104629, 320198697, 323171875, 323595081, 330749120, 332089856, 337534981, 341559099, 346061296, 348411511, 355100291, 364068432, 364226625, 368735976, 370745613, 373294656, 373977000, 383325696, 384832000, 392450149, 407103489, 417088000, 431488512, 432331263, 449519625, 453246976, 453529125, 453869568, 474826625, 482831496, 509280256, 513000000, 520019227, 525941451, 543449088, 550416384, 563243625, 593861625, 614365479, 618828119, 625515625, 646232256, 660204027, 671170617, 672610393, 690947712, 729091125, 751625000, 758989504, 760032072, 773778096, 783698328, 787969539, 798150024, 814625000, 852464431, 878804416, 886464000, 893923128, 918861489, 921705561, 923062959, 964704897, 973284984, 974550528, 988619723, 998951616.