10 (10^2 = 100 , r = 1)
50 (50^2 = 2500 , r = 1)
60 (60^2 = 3600 , r = 1)
100 (100^2 = 10000 , r = 2)
250 (250^2 = 62500 , r = 1)
500 (500^2 = 250000 , r = 2)
600 (600^2 = 360000 , r = 2)
760 (760^2 = 577600 , r = 1)
1000 (1000^2 = 1000000 , r = 3)
2500 (2500^2 = 6250000 , r = 2)
3760 (3760^2 = 14137600 , r = 1)
3792 (3792^2 = 14379264 , r = 2)
5000 (5000^2 = 25000000 , r = 3)
6000 (6000^2 = 36000000 , r = 3)
6250 (6250^2 = 39062500 , r = 1)
7600 (7600^2 = 57760000 , r = 2)
10000 (10000^2 = 100000000 , r = 4)
14651 (14651^2 = 214651801 , r = 3)
25000 (25000^2 = 625000000 , r = 3)
37600 (37600^2 = 1413760000 , r = 2)
50000 (50000^2 = 2500000000 , r = 4)
60000 (60000^2 = 3600000000 , r = 4)
62500 (62500^2 = 3906250000 , r = 2)
76000 (76000^2 = 5776000000 , r = 3)
93760 (93760^2 = 8790937600 , r = 1)
100000 (100000^2 = 10000000000 , r = 5)
250000 (250000^2 = 62500000000 , r = 4)
376000 (376000^2 = 141376000000 , r = 3)
495475 (495475^2 = 245495475625 , r = 3)
500000 (500000^2 = 250000000000 , r = 5)
505025 (505025^2 = 255050250625 , r = 4)
600000 (600000^2 = 360000000000 , r = 5)
625000 (625000^2 = 390625000000 , r = 3)
760000 (760000^2 = 577600000000 , r = 4)
906250 (906250^2 = 821289062500 , r = 1)
937600 (937600^2 = 879093760000 , r = 2)
971582 (971582^2 = 943971582724 , r = 3)
1000000 (1000000^2 = 1000000000000 , r = 6)
1093760 (1093760^2 = 1196310937600 , r = 1)
1713526 (1713526^2 = 2936171352676 , r = 2)
2500000 (2500000^2 = 6250000000000 , r = 5)
3760000 (3760000^2 = 14137600000000 , r = 4)
4115964 (4115964^2 = 16941159649296 , r = 4)
5000000 (5000000^2 = 25000000000000 , r = 6)
5050250 (5050250^2 = 25505025062500 , r = 5)
5133355 (5133355^2 = 26351333556025 , r = 4)
6000000 (6000000^2 = 36000000000000 , r = 6)
6250000 (6250000^2 = 39062500000000 , r = 4)
6933808 (6933808^2 = 48077693380864 , r = 2)
7600000 (7600000^2 = 57760000000000 , r = 5)
8906250 (8906250^2 = 79321289062500 , r = 1)
9062500 (9062500^2 = 82128906250000 , r = 2)
9376000 (9376000^2 = 87909376000000 , r = 3)



PHP code for calculation:

<?php
for ($i=0; $i<10000000; $i++) {
        $x = $i*$i;
        $sp = strpos((string)$x,(string)$i);
        if ($sp !== false) {
                $r = strlen($x) - strlen($i) - $sp;
                if ($r == 0) continue;
                if (strpos((string)$x,(string)$i) !== false) echo "$i ($i^2 = $x , r = $r)\n";
        }
}
?>