A163752 Generalized factorions: numbers which are equal to the sum of the factorials of some or all of their digits in base 10.

1, 2, 24, 145, 5760, 5761, 5762, 40328, 40585, 362904, 367920, 367921, 367922, 367926, 367928, 367932, 367944

Offset: 1

Author

Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 03 2009

Keywords

• base
• fini
• full
• nonn

Comments

Generalized factorions include factorions (A014080), near-factorions (A163576), and "not-so-near-factorions" such as 362904, which is equal to 9! + 4!.

Examples

			367932 = 3! + 7! + 9! + 3!.
		

Crossrefs

Superset of A014080 and A163576.

Programs

Mathematica

Select[Range[370000],MemberQ[Total[#!]&/@Rest[Subsets[ IntegerDigits[ #]]], #]&] (* Harvey P. Dale, Mar 20 2017 *)