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Least positive number that has exactly n different representations as the product of a number and of its decimal digits.
4

%I #29 Aug 16 2020 10:44:35

%S 2,1,192,1798848,549504,20150684596224

%N Least positive number that has exactly n different representations as the product of a number and of its decimal digits.

%e 1 = 1 * (1).

%e 192 = 24 * (2*4)

%e = 32 * (3*2).

%e 1798848 = 6246 * (6*2*4*6)

%e = 12492 * (1*2*4*9*2)

%e = 33312 * (3*3*3*1*2).

%e 549504 = 1696 * (1*6*9*6)

%e = 2862 * (2*8*6*2)

%e = 3392 * (3*3*9*2)

%e = 3816 * (3*8*1*6).

%e 20150684596224 = 61699872 * (6*1*6*9*9*8*7*2)

%e = 123399744 * (1*2*3*3*9*9*7*4*4)

%e = 242943246 * (2*4*2*9*4*3*2*4*6)

%e = 323924328 * (3*2*3*9*2*4*3*2*8)

%e = 416474136 * (4*1*6*4*7*4*1*3*6).

%Y Cf. A098736, A336826, A336876, A336944, A337054.

%K nonn,base,more

%O 0,1

%A _Chai Wah Wu_, Aug 12 2020