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45923968 = 27499719
BaseRepresentation
bin1010111100101…
…1111010000000
310012102011211201
42233023322000
543224031333
64320150544
71065230056
oct257137200
9105364751
1045923968
1123a173a2
1213468454
13968c05c
1461561d6
15407217d
hex2bcbe80

45923968 has 32 divisors (see below), whose sum is σ = 91800000. Its totient is φ = 22884096.

The previous prime is 45923963. The next prime is 45924013. The reversal of 45923968 is 86932954.

45923968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (45923963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63513 + ... + 64231.

It is an arithmetic number, because the mean of its divisors is an integer number (2868750).

Almost surely, 245923968 is an apocalyptic number.

It is an amenable number.

45923968 is a deficient number, since it is larger than the sum of its proper divisors (45876032).

45923968 is an equidigital number, since it uses as much as digits as its factorization.

45923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1220 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 45923968 is about 6776.7225116571. The cubic root of 45923968 is about 358.1072678779.

The spelling of 45923968 in words is "forty-five million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 499 719 998 1438 1996 2876 3992 5752 7984 11504 15968 23008 31936 46016 63872 92032 358781 717562 1435124 2870248 5740496 11480992 22961984 45923968