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45843264 = 263279589
BaseRepresentation
bin1010111011100…
…0001101000000
310012021002010200
42232320031000
543213441024
64314325200
71064442555
oct256701500
9105232120
1045843264
11239717a5
1213429800
1396613bc
146134a2c
1540582c9
hex2bb8340

45843264 has 42 divisors (see below), whose sum is σ = 131403090. Its totient is φ = 15280896.

The previous prime is 45843263. The next prime is 45843299. The reversal of 45843264 is 46234854.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 12110400 = 5808^2 + 3480^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45843263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39219 + ... + 40370.

It is an arithmetic number, because the mean of its divisors is an integer number (3128645).

Almost surely, 245843264 is an apocalyptic number.

It is an amenable number.

45843264 is an abundant number, since it is smaller than the sum of its proper divisors (85559826).

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

45843264 is a wasteful number, since it uses less digits than its factorization.

45843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79607 (or 79594 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45843264 is about 6770.7653924796. The cubic root of 45843264 is about 357.8973728696.

The spelling of 45843264 in words is "forty-five million, eight hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 79589 159178 238767 318356 477534 636712 716301 955068 1273424 1432602 1910136 2546848 2865204 3820272 5093696 5730408 7640544 11460816 15281088 22921632 45843264