No 53

Unrepeatable Digits What do the following square numbers have in common? 118622 = 139854276 123632 = 152843769 125432 = 157326849 146762 = 215384976 156812 = 245893761 159632 = 254817369 180722 = 326597184 190232 = 361874529 193772 = 375468129 If you are still not sure then calculate these ones for yourself: 195692 196292 203162 228872 230192 231782 234392 242372 242762 244412 248072 250592 255722 259412 264092 267332 271292 272732 290342 291062 There are exactly 30 square numbers with this amazing property. All but one of them are given above. The remaining nine digit square begins 92*******. Can you find it? And then of course there are: 320432, 322862, 331442 .. What's amazing about these? Can you find more?

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