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 A028846 Numbers n such that product of digits of n is a power of 2. 16
 1, 2, 4, 8, 11, 12, 14, 18, 21, 22, 24, 28, 41, 42, 44, 48, 81, 82, 84, 88, 111, 112, 114, 118, 121, 122, 124, 128, 141, 142, 144, 148, 181, 182, 184, 188, 211, 212, 214, 218, 221, 222, 224, 228, 241, 242, 244, 248, 281, 282, 284, 288, 411, 412, 414, 418, 421, 422, 424, 428, 441, 442, 444, 448 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers using only digits 1, 2, 4, and 8. - Michel Lagneau, Dec 01 2010 LINKS Bo Gyu Jeong, Table of n, a(n) for n = 1..5000 EXAMPLE 28 is in the sequence because 2*8=2^4. - Michel Lagneau, Dec 01 2010 MATHEMATICA Select[Range[1000], IntegerQ[Log[2, Times @@ (IntegerDigits[#])]] &] (* Michel Lagneau, Dec 01 2010 *) PROG (Haskell) a028846 n = a028846_list !! (n-1) a028846_list = f [1] where    f ds = foldr (\d v -> 10 * v + d) 0 ds : f (s ds)    s [] = [1]; s (8:ds) = 1 : s ds; s (d:ds) = 2*d : ds -- Reinhard Zumkeller, Jan 13 2014 CROSSREFS Cf. A007954, A028889, A028838. Cf. A174813, A061426. Sequence in context: A028889 A235700 A174781 * A274924 A080152 A136994 Adjacent sequences:  A028843 A028844 A028845 * A028847 A028848 A028849 KEYWORD nonn,base AUTHOR EXTENSIONS More terms from Scott Lindhurst (ScottL(AT)alumni.princeton.edu) STATUS approved

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Last modified June 24 22:23 EDT 2019. Contains 324337 sequences. (Running on oeis4.)