First numbers that belong to both sets:
24,
375,
384,
896,
1029,
1215,
1536,
3000,
4374,
5120,
6591,
10125,
15309,
17496,
22528,
24000,
24576,
27783,
36501,
38880,
52728,
65856,
73167,
89373,
93750,
98304,
114688,
117912,
151959,
177957,
192000,
222264,
229376,
273375,
279936,
292008,
295245,
311469,
375000,
421824,
446631,
491520,
499125,
585336,
648000,
680943,
705894,
750141,
805255,
862488,
985527,
1029000,
1073733,
1119744,
1167051,
1215672,
1244160,
1369599,
1479117,
1536000,
1572864,
1654104,
1778112,
1842375,
1856465,
1975509,
2187000,
2228224,
2336064,
2413071,
2572125,
2689120,
2738019,
2823576,
3090903,
3183624,
3188646,
3278181,
3374592,
3573048,
3885087,
3993000,
4102893,
4214784,
4444632,
4682688,
4804839,
5055477,
5242880,
5447544,
5582601,
5719872,
5859375,
6000000,
6145149,
6291456,
6591000,
7057911,
7099285,
7381125,
7546368,
7884216,
8409663,
8589864,
8772621,
9336408,
9725376,
9923847,
9961472.