First numbers that belong to both sets:
250,
2176,
2304,
2560,
2744,
23328,
25000,
119911,
219488,
256000,
290912,
2238728,
2359296,
2370816,
2500000,
3515625,
3720087,
23592960,
23887872,
25000000,
25600000,
27294568,
235929600,
237180384,
353109375,
387420489,
595238125,
761743661.