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8695968 = 25390583
BaseRepresentation
bin100001001011…
…000010100000
3121100210121220
4201023002200
54211232333
6510215040
7133625451
oct41130240
917323556
108695968
1149aa456
122ab4480
131a56158
141225128
15b6b8b3
hex84b0a0

8695968 has 24 divisors (see below), whose sum is σ = 22827168. Its totient is φ = 2898624.

The previous prime is 8695961. The next prime is 8695991.

8695968 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8695968.

It is not an unprimeable number, because it can be changed into a prime (8695961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45196 + ... + 45387.

It is an arithmetic number, because the mean of its divisors is an integer number (951132).

Almost surely, 28695968 is an apocalyptic number.

It is an amenable number.

8695968 is an abundant number, since it is smaller than the sum of its proper divisors (14131200).

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

8695968 is a wasteful number, since it uses less digits than its factorization.

8695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90596 (or 90588 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 8695968 is about 2948.8926735302. The cubic root of 8695968 is about 205.6392340858.

The spelling of 8695968 in words is "eight million, six hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 90583 181166 271749 362332 543498 724664 1086996 1449328 2173992 2898656 4347984 8695968