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45906084 = 22327182167
BaseRepresentation
bin1010111100011…
…1100010100100
310012101021022100
42233013202210
543222443314
64315532100
71065123660
oct257074244
9105337270
1045906084
1123a04a14
121345a030
139683b83
14614d8a0
15406bc09
hex2bc78a4

45906084 has 36 divisors (see below), whose sum is σ = 132618304. Its totient is φ = 13115952.

The previous prime is 45906083. The next prime is 45906089. The reversal of 45906084 is 48060954.

45906084 is a `hidden beast` number, since 4 + 590 + 60 + 8 + 4 = 666.

45906084 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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (45906083) 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, 90832 + ... + 91335.

Almost surely, 245906084 is an apocalyptic number.

It is an amenable number.

45906084 is an abundant number, since it is smaller than the sum of its proper divisors (86712220).

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

45906084 is a wasteful number, since it uses less digits than its factorization.

45906084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182184 (or 182179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45906084 is about 6775.4028662508. The cubic root of 45906084 is about 358.0607763820.

The spelling of 45906084 in words is "forty-five million, nine hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 182167 364334 546501 728668 1093002 1275169 1639503 2186004 2550338 3279006 3825507 5100676 6558012 7651014 11476521 15302028 22953042 45906084