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45926820 = 22325255149
BaseRepresentation
bin1010111100110…
…0100110100100
310012102022202100
42233030212210
543224124240
64320212100
71065241302
oct257144644
9105368670
1045926820
1123a19555
121346a030
139690444
146157272
154072e30
hex2bcc9a4

45926820 has 36 divisors (see below), whose sum is σ = 139311900. Its totient is φ = 12247104.

The previous prime is 45926789. The next prime is 45926827. The reversal of 45926820 is 2862954.

It is a happy number.

45926820 is a `hidden beast` number, since 4 + 592 + 68 + 2 + 0 = 666.

45926820 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 27625536 + 18301284 = 5256^2 + 4278^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (45926827) 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, 127395 + ... + 127754.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 245926820 is an apocalyptic number.

It is an amenable number.

45926820 is an abundant number, since it is smaller than the sum of its proper divisors (93385080).

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

45926820 is a wasteful number, since it uses less digits than its factorization.

45926820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255164 (or 255159 counting only the distinct ones).

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

The square root of 45926820 is about 6776.9329345951. The cubic root of 45926820 is about 358.1146808609.

The spelling of 45926820 in words is "forty-five million, nine hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 255149 510298 765447 1020596 1275745 1530894 2296341 2551490 3061788 3827235 4592682 5102980 7654470 9185364 11481705 15308940 22963410 45926820