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45045864 = 2332625637
BaseRepresentation
bin1010101111010…
…1100001101000
310010202120022100
42223311201220
543012431424
64245253400
71054612023
oct253654150
9103676270
1045045864
1123477696
1213104260
139442476
145da81ba
153e4bdc9
hex2af5868

45045864 has 24 divisors (see below), whose sum is σ = 121999410. Its totient is φ = 15015264.

The previous prime is 45045859. The next prime is 45045893. The reversal of 45045864 is 46854054.

45045864 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 only one way, i.e., 35497764 + 9548100 = 5958^2 + 3090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 312747 + ... + 312890.

Almost surely, 245045864 is an apocalyptic number.

It is an amenable number.

45045864 is an abundant number, since it is smaller than the sum of its proper divisors (76953546).

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

45045864 is a wasteful number, since it uses less digits than its factorization.

45045864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625649 (or 625642 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45045864 is about 6711.6215626330. The cubic root of 45045864 is about 355.8101289409.

The spelling of 45045864 in words is "forty-five million, forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 625637 1251274 1876911 2502548 3753822 5005096 5630733 7507644 11261466 15015288 22522932 45045864