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95679864 = 23327229829
BaseRepresentation
bin1011011001111…
…11010101111000
320200001001002200
411230333111320
5143443223424
613254430200
72241160020
oct554772570
9220031080
1095679864
114a010775
1228062360
1316a90307
14c9c8a80
1585ee8c9
hex5b3f578

95679864 has 96 divisors (see below), whose sum is σ = 297804000. Its totient is φ = 27184896.

The previous prime is 95679821. The next prime is 95679869. The reversal of 95679864 is 46897659.

It is a self number, because there is not a number n which added to its sum of digits gives 95679864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95679869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115002 + ... + 115830.

It is an arithmetic number, because the mean of its divisors is an integer number (3102125).

Almost surely, 295679864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95679864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148902000).

95679864 is an abundant number, since it is smaller than the sum of its proper divisors (202124136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95679864 is a wasteful number, since it uses less digits than its factorization.

95679864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 95679864 is about 9781.6084566905. The cubic root of 95679864 is about 457.3761520899.

The spelling of 95679864 in words is "ninety-five million, six hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 229 252 458 504 687 829 916 1374 1603 1658 1832 2061 2487 2748 3206 3316 4122 4809 4974 5496 5803 6412 6632 7461 8244 9618 9948 11606 12824 14427 14922 16488 17409 19236 19896 23212 28854 29844 34818 38472 46424 52227 57708 59688 69636 104454 115416 139272 189841 208908 379682 417816 569523 759364 1139046 1328887 1518728 1708569 2278092 2657774 3417138 3986661 4556184 5315548 6834276 7973322 10631096 11959983 13668552 15946644 23919966 31893288 47839932 95679864