A050240 Handsome numbers (A007532) representable as a sum of any positive powers of their digits in two distinct ways, not counting different powers of duplicated digits as distinct.

264, 373, 375, 2132, 2223, 2241, 2243, 2245, 2263, 2336, 2352, 2356, 2372, 2376, 2427, 2536, 2664, 2733, 2843, 2932, 3257, 3292, 3324, 3342, 3435, 3437, 3457, 3477, 3945, 4132, 4154, 4194, 4225, 4241, 4249, 4262, 4265, 4332, 4352, 4353

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Examples

			From _R. J. Mathar_, Aug 18 2021: (Start)
264 = 2^1 + 6^1 + 4^4 = 2^5 + 6^3 + 4^2.
2536 = 2^3 + 5^3 + 3^7 + 6^3 = 2^7 + 5^1 + 3^7 + 6^3.
4262 = 4^6 + 2^1 + 6^2 + 2^7 = 4^6 + 2^5 + 6^1 + 2^7 (not regarded distinct = 4^6 + 2^7 + 6^1 + 2^5 = 4^6 + 2^7 + 6^2 + 2^1). (End)
		

Links

• Eric Weisstein's World of Mathematics, Narcissistic Number.

Crossrefs

Cf. A007532, A050241.

Extensions

Edited by Joerg Arndt and M. F. Hasler, Aug 11 2021