First numbers that belong to both sets:
65728,
525824,
1061424,
1075032,
3628233,
4467528,
5799339,
5832729,
7640128,
8493039,
8647128,
9261729,
10811017,
10870119,
10962432,
11855727,
12533824,
13825728,
15187041,
16387128,
20072017,
20976832,
23934528,
24480125,
27015625,
33652736,
40354119,
41258737,
42154840,
42276843,
45118528,
46825128,
48137544,
49849856,
51508639,
51564032,
56388339,
60271939,
61121024,
61555832,
63660032,
65055744,
66763333,
86316741,
86960952,
87029432,
88780536,
90527229,
91140435,
94100426,
94820544,
97867441.