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23008896 = 273219973
BaseRepresentation
bin101011111000…
…1011010000000
31121021222021100
41113301122000
521342241041
62141054400
7366400221
oct127613200
947258240
1023008896
1111a95a19
127857400
1349c7b41
1430ad248
1520476b6
hex15f1680

23008896 has 48 divisors (see below), whose sum is σ = 66213810. Its totient is φ = 7669248.

The previous prime is 23008891. The next prime is 23008933. The reversal of 23008896 is 69880032.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 2433600 = 4536^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23008896.

It is not an unprimeable number, because it can be changed into a prime (23008891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8835 + ... + 11138.

Almost surely, 223008896 is an apocalyptic number.

It is an amenable number.

23008896 is an abundant number, since it is smaller than the sum of its proper divisors (43204914).

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

23008896 is a wasteful number, since it uses less digits than its factorization.

23008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19993 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23008896 is about 4796.7589057613. The cubic root of 23008896 is about 284.4233585353.

The spelling of 23008896 in words is "twenty-three million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19973 39946 59919 79892 119838 159784 179757 239676 319568 359514 479352 639136 719028 958704 1278272 1438056 1917408 2556544 2876112 3834816 5752224 7669632 11504448 23008896