First numbers that belong to both sets:
216,
4913,
13824,
59319,
91125,
238328,
274625,
493039,
1092727,
1191016,
1295029,
1367631,
1404928,
1906624,
1953125,
2803221,
3048625,
4741632,
5000211,
5545233,
5735339,
6331625,
7529536,
8615125,
11239424,
12649337,
14706125,
14886936,
15069223,
19248832,
20570824,
25934336,
27818127,
29503629,
32157432,
34012224,
34328125,
36926037,
49836032,
52313624,
53582633,
76225024,
81182737,
88121125,
98611128,
99252847.