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45953928 = 23324314843
BaseRepresentation
bin1010111101001…
…1001110001000
310012110200221100
42233103032020
543231011203
64320541400
71065413316
oct257231610
9105420840
1045953928
1123a37959
1213481860
13969c897
1461630b6
15407aea3
hex2bd3388

45953928 has 48 divisors (see below), whose sum is σ = 127361520. Its totient is φ = 14960736.

The previous prime is 45953927. The next prime is 45953933. The reversal of 45953928 is 82935954.

45953928 is a `hidden beast` number, since 4 + 595 + 39 + 28 = 666.

45953928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459539282 = 4223526997258368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45953927) 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 11 ways as a sum of consecutive naturals, for example, 4326 + ... + 10517.

It is an arithmetic number, because the mean of its divisors is an integer number (2653365).

Almost surely, 245953928 is an apocalyptic number.

It is an amenable number.

45953928 is an abundant number, since it is smaller than the sum of its proper divisors (81407592).

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

45953928 is a wasteful number, since it uses less digits than its factorization.

45953928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14891 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 45953928 is about 6778.9326593498. The cubic root of 45953928 is about 358.1851252723.

The spelling of 45953928 in words is "forty-five million, nine hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 14843 29686 44529 59372 89058 118744 133587 178116 267174 356232 534348 638249 1068696 1276498 1914747 2552996 3829494 5105992 5744241 7658988 11488482 15317976 22976964 45953928