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Question Number 216912 by ArshadS last updated on 26/Feb/25

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

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