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Question Number 216912 by ArshadS last updated on 24/Feb/25

$$\mathrm{Find}\mathrm{all}\mathrm{three}-\mathrm{digit}\mathrm{numbers}\mathrm{such}\mathrm{that}$$$$1.\mathrm{is}\mathrm{divisible}\mathrm{by}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{its}\mathrm{digits}.$$$$2.\mathrm{is}\mathrm{a}\mathrm{perfect}\mathrm{square}.$$

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