A152088 Positive integers k that when written in binary have exactly the same number of (non-leading) 0's as the number of divisors of k.

19, 33, 34, 43, 49, 53, 69, 74, 79, 82, 103, 107, 109, 141, 142, 166, 177, 178, 201, 202, 209, 226, 261, 268, 292, 295, 299, 301, 302, 309, 314, 327, 334, 339, 341, 346, 355, 358, 362, 367, 379, 388, 391, 395, 398, 403, 422, 431, 439, 443, 451, 453, 454, 458

Offset: 1

Author

Leroy Quet, Nov 23 2008

Keywords

• nonn
• base

Examples

			34 written in binary is 100010, which has four 0's. Also, 34 has 4 divisors (1,2,17,34). Since the number of binary 0's equals the number of divisors, then 34 is included in this sequence.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000005, A023416, A071593, A080791.

Programs

Mathematica

Select[Range[500], DigitCount[#, 2, 0] == DivisorSigma[0, #] &] (* Amiram Eldar, Dec 28 2019 *)

Extensions

Extended by Ray Chandler, Nov 26 2008