Search a number
-
+
76009941 = 3371741577
BaseRepresentation
bin1001000011111…
…01000111010101
312022000201001000
410201331013111
5123424304231
611313053513
71612034220
oct441750725
9168021030
1076009941
11399a6437
1221557299
13129941c7
14a1485b7
156a166e6
hex487d1d5

76009941 has 64 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 39813120.

The previous prime is 76009931. The next prime is 76009949. The reversal of 76009941 is 14990067.

76009941 is a `hidden beast` number, since 7 + 600 + 9 + 9 + 41 = 666.

It is not a de Polignac number, because 76009941 - 29 = 76009429 is a prime.

It is a super-2 number, since 2×760099412 = 11555022261646962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76009896 and 76009905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76009949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131445 + ... + 132021.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840).

Almost surely, 276009941 is an apocalyptic number.

It is an amenable number.

76009941 is a deficient number, since it is larger than the sum of its proper divisors (63819819).

76009941 is a wasteful number, since it uses less digits than its factorization.

76009941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 76009941 is about 8718.3680238907. The cubic root of 76009941 is about 423.6008261827.

The spelling of 76009941 in words is "seventy-six million, nine thousand, nine hundred forty-one".

Divisors: 1 3 7 9 17 21 27 41 51 63 119 123 153 189 287 357 369 459 577 697 861 1071 1107 1731 2091 2583 3213 4039 4879 5193 6273 7749 9809 12117 14637 15579 18819 23657 29427 36351 43911 68663 70971 88281 109053 131733 165599 205989 212913 264843 402169 496797 617967 638739 1206507 1490391 1853901 2815183 3619521 4471173 8445549 10858563 25336647 76009941