Search a number
d-powerful n.  and  modest n.

First numbers that belong to both sets:

89, 209, 333, 1672, 2133, 2333, 2427, 2733, 2863, 2933, 3236, 4263, 4266, 4599, 7299, 12324, 16432, 22333, 26333, 32072, 36324, 48333, 52702, 59333, 62666, 64333, 64864, 75999, 80396, 82246, 83636, 85459, 92276, 92727, 96324, 124279, 132396, 132407, 132444, 162729, 166747, 175675, 176792, 194222, 195585, 196756, 212636, 224336, 224666, 224864, 232348, 236969, 237333, 237999, 238259, 240333, 240396, 242376, 243636, 244333, 248372, 252475, 255333, 256384, 256432, 257333, 258387, 262222, 262393, 262574, 262999, 264333, 264396, 264444, 264648, 264666, 264792, 266518, 272432, 272673, 275333, 276324, 280396, 280462, 282333, 282423, 282666, 282846, 283636, 284426, 286351, 286594, 287369, 288648, 289459, 292876, 295333, 307999, 312444, 322851, 323629, 328492, 329423, 332444, 332666, 336444, 343333, 348783, 352864, 354666, 358666, 362543, 364546, 374629, 374666, 376423, 392882, 406777, 433333, 434257, 443636, 456703, 498747, 522783, 524786, 525777, 526789, 527629, 527999, 532756, 532798, 539693, 542673, 543333, 547999, 560126, 568639, 574861, 578629, 626138, 632727, 632948, 653333, 692277, 693333, 723999, 736828, 780234, 832962, 864972, 875999, 1324356, 1422343, 1522222, 1523762, 1532727, 1602439, 1622673, 1640369, 1641353, 1643333, 1680924, 1725676, 1726666, 1756363, 1762222, 1762424, 1764356, 1826363, 1842323, 1850333, 1863333, 1902337, 1923232, 1952727, 1953333, 1954545, 1956435, 1976501, 2051353, 2120636, 2123333, 2143531, 2160324, 2162673, 2227326, 2227474, 2232453, 2233333, 2237359, 2241584, 2242464, 2243232, 2243636, 2243696, 2247272, 2250275, 2250303, 2250675, 2252475, 2252727, 2253333, 2254455, 2254545, 2257425, 2262486, 2263729, 2267458, 2272497, 2281254, 2283636, 2283762, 2285454, 2286666, 2302323, 2302439, 2306233, 2320348, 2323333, 2323828, 2343333, 2343861, 2350423, 2365959, 2386363, 2392629, 2402970, 2417953, 2422662, 2432673, 2442684, 2443636, 2453333, 2456363, 2473333, 2473939, 2480396, 2480558, 2492727, 2493333, 2520325, 2522727, 2523333, 2526237, 2526363, 2543333, 2548382, 2560384, 2563333, 2582727, 2583333, 2584257, 2622222, 2622358, 2622882, 2628646, 2632367, 2632893, 2640594, 2640792, 2642178, 2642376, 2642424, 2643636, 2644356, 2646534, 2652385, 2661254, 2663762, 2663838, 2723333, 2762277, 2762323, 2822538, 2832547, 2862574, 2872583, 2873333, 2883564, 2885454.

Some larger examples :