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45658864 = 2423532341
BaseRepresentation
bin1010111000101…
…1001011110000
310011220201012001
42232023023300
543142040424
64310343344
71063044136
oct256131360
9104821161
1045658864
11238561a9
121335ab54
1395c84a4
1460c7756
15401d844
hex2b8b2f0

45658864 has 40 divisors (see below), whose sum is σ = 94092192. Its totient is φ = 21415680.

The previous prime is 45658831. The next prime is 45658883. The reversal of 45658864 is 46885654.

45658864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18334 + ... + 20674.

Almost surely, 245658864 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 45658864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47046096).

45658864 is an abundant number, since it is smaller than the sum of its proper divisors (48433328).

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

45658864 is a wasteful number, since it uses less digits than its factorization.

45658864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The square root of 45658864 is about 6757.1343038303. The cubic root of 45658864 is about 357.4168590790.

The spelling of 45658864 in words is "forty-five million, six hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2341 2438 4682 4876 9364 9752 18728 19504 37456 53843 107686 124073 215372 248146 430744 496292 861488 992584 1985168 2853679 5707358 11414716 22829432 45658864