First numbers that belong to both sets:
2048,
2500,
23328,
262144,
2097152,
2238728,
2359296,
23887872,
25000000,
271351808,
2147483648,
2324522934,
2347906338,
3486784401,
23702740992,
27682574402,
31381059609,
250000000000,
274877906944,
323754489243,
361881028863.