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45836064 = 253353051
BaseRepresentation
bin1010111011011…
…0011100100000
310012020201021000
42232312130200
543213223224
64314232000
71064412561
oct256663440
9105221230
1045836064
112396734a
1213425600
13965b041
146132168
1540560c9
hex2bb6720

45836064 has 48 divisors (see below), whose sum is σ = 133691040. Its totient is φ = 15278400.

The previous prime is 45836059. The next prime is 45836083. The reversal of 45836064 is 46063854.

45836064 is a `hidden beast` number, since 45 + 8 + 3 + 606 + 4 = 666.

45836064 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 (48).

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

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, 25662 + ... + 27389.

It is an arithmetic number, because the mean of its divisors is an integer number (2785230).

Almost surely, 245836064 is an apocalyptic number.

It is an amenable number.

45836064 is an abundant number, since it is smaller than the sum of its proper divisors (87854976).

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

45836064 is a wasteful number, since it uses less digits than its factorization.

45836064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53070 (or 53056 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45836064 is about 6770.2336739584. The cubic root of 45836064 is about 357.8786351403.

The spelling of 45836064 in words is "forty-five million, eight hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 53051 106102 159153 212204 318306 424408 477459 636612 848816 954918 1273224 1432377 1697632 1909836 2546448 2864754 3819672 5092896 5729508 7639344 11459016 15278688 22918032 45836064