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A239212
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Numbers n such that n^2 is divisible by each of its nonzero digits.
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4
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1, 2, 3, 6, 10, 12, 18, 20, 28, 30, 32, 36, 38, 42, 48, 50, 54, 60, 96, 100, 102, 108, 110, 114, 120, 138, 150, 156, 162, 168, 180, 192, 198, 200, 204, 210, 220, 264, 280, 288, 300, 306, 318, 320, 332, 336, 338, 342, 348, 350, 360, 372, 380, 390, 402, 408
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OFFSET
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1,2
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LINKS
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EXAMPLE
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198 is in the sequence because 198^2 = 39204 which is divisible by 3, 9, 2 and 4.
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PROG
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(PARI) isOK(n) = my(v=vecsort(digits(n^2), , 8)); for(i=1+(v[1]==0), #v, if(n^2%v[i], return(0))); 1
s=[]; for(n=1, 1000, if(isOK(n), s=concat(s, n))); s
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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