A248718 Numbers n such that n + (sum of digits of n) and n + (product of digits of n) contain the same distinct digits of n.

1512, 4346, 5112, 5769, 11215, 11512, 12115, 12313, 12511, 13213, 14346, 14512, 15112, 15211, 15412, 21115, 21313, 21511, 23113, 25111, 27369, 31213, 32113, 34135, 34535, 41346, 41512, 43135, 43535, 45112, 51112, 51211, 51412, 52111, 52569, 53435, 53534, 53958, 54112, 54533, 56925

Offset: 1

Author

Derek Orr, Oct 12 2014

Keywords

• nonn
• base

Comments

Intersection of A247887 and A247888.

Crossrefs

Cf. A247887, A247888, A007954, A007953, A052382.

Programs

PARI

for(n=0,10^6,d=digits(n);p=prod(i=1,#d,d[i]);vp=vecsort(digits(p+n), ,8);vs=vecsort(digits(sumdigits(n)+n), ,8);if(vs==vp&&vp==vecsort(d, ,8)&&vs==vecsort(d, ,8)&&p,print1(n,", ")))