First numbers that belong to both sets:
200,
324,
512,
625,
1352,
1764,
2048,
6400,
6724,
6728,
7776,
9216,
10125,
10404,
10648,
10800,
10816,
11664,
12996,
13500,
14112,
15488,
16200,
17424,
17672,
18000,
19044,
19652,
20000,
21296,
21632,
21904,
21952,
22472,
23104,
24300,
25000,
26136,
26912,
27000,
27225,
30375,
30625,
31104,
32768,
33124,
33275,
34225,
34992,
35344,
36125,
36504,
36864,
38025,
38416,
38988,
40328,
42592,
42632,
42875,
43904,
44944,
45796,
46208,
46656,
48600,
49284,
50000,
51984,
52272,
53824,
54925,
56644,
60516,
60552,
61952,
63504,
64800,
66125,
66248,
67228,
67500,
67712,
68600,
68644,
69984,
72000,
72200,
73984,
74088,
76176,
77284,
79092,
79524,
80000,
81608,
82944,
84100,
85184,
85264,
86400,
86436,
86528,
87025,
88200,
89888,
91204,
93025,
94864,
95048,
95832,
96100,
96800,
97200,
97336,
97344,
98784,
101124,
102152,
105125,
105625,
105800,
111132,
111392,
111556,
112896,
114244,
118336,
119072,
119164,
119716,
121104,
123904,
124416,
127008,
128000,
128164,
132300,
133225,
133956,
134456,
136125,
136900,
137288,
142884,
143648,
144000,
144500,
145924,
147968,
150544,
152100,
152352,
153125,
153664,
154568,
155952,
156025,
156800,
157464,
159048,
161312,
161604,
163592,
166375,
166464,
168200,
169744,
170528,
171125,
171396,
171500,
175232,
175616,
176868,
178084,
181476,
181656,
182408,
183184,
189728,
190512,
191844,
192200,
194400,
195112,
195364,
197192,
198025,
198916,
199712,
200704,
202500,
206116,
207576,
211600,
216000,
216225,
217800,
218700,
219024,
219488,
220500,
221184,
223112,
225000,
225792,
228484,
228488,
230400,
231125,
231200,
231868,
232324,
235224,
235225,
236196,
236672,
243000,
245000,
247808,
248004,
249696,
250632,
253125,
253472,
254016,
256000,
256328,
260100,
262088,
264196,
264500,
265225,
266200,
266256,
268324,
272484,
273375,
275684,
276125,
278784,
279936,
281216,
282752,
286225,
289444,
291600,
291848,
297675,
298116,
300125,
301088,
304175,
304200,
307328,
310472,
311364,
311904,
314432,
315844,
318096,
320356,
324000,
325125,
327184,
328536,
332024,
334084,
336200,
337500,
338000,
338724,
339488,
340736,
342225,
343000,
348100,
349448,
350464.
Some larger examples :
9847044,
9850032,
9856800,
9870125,
9872164,
9874568,
9878400,
9884736,
9891936,
9892352,
9922500,
9927988,
9935104,
9945800,
9948825,
9972964,
9980928,
9981512,
9984600,
10000000.