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45834920 = 2351145873
BaseRepresentation
bin1010111011011…
…0001010101000
310012020122200122
42232312022220
543213204140
64314222412
71064406335
oct256661250
9105218618
1045834920
11239664aa
1213424a08
13965a671
14613198c
154055ab5
hex2bb62a8

45834920 has 16 divisors (see below), whose sum is σ = 103128660. Its totient is φ = 18333952.

The previous prime is 45834871. The next prime is 45834937. The reversal of 45834920 is 2943854.

45834920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45185284 + 649636 = 6722^2 + 806^2 .

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 3 ways as a sum of consecutive naturals, for example, 572897 + ... + 572976.

Almost surely, 245834920 is an apocalyptic number.

45834920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45834920 is an abundant number, since it is smaller than the sum of its proper divisors (57293740).

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

45834920 is a wasteful number, since it uses less digits than its factorization.

45834920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145884 (or 1145880 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 45834920 is about 6770.1491859486. The cubic root of 45834920 is about 357.8756577427.

The spelling of 45834920 in words is "forty-five million, eight hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1145873 2291746 4583492 5729365 9166984 11458730 22917460 45834920