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45059364 = 22327178807
BaseRepresentation
bin1010101111100…
…0110100100100
310010210020211100
42223320310210
543013344424
64245440100
71054666260
oct253706444
9103706740
1045059364
1123486849
1213110030
13944865c
145dad0a0
153e50dc9
hex2af8d24

45059364 has 36 divisors (see below), whose sum is σ = 130172224. Its totient is φ = 12874032.

The previous prime is 45059363. The next prime is 45059423. The reversal of 45059364 is 46395054.

It is a happy number.

45059364 is a `hidden beast` number, since 4 + 5 + 0 + 593 + 64 = 666.

45059364 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 (45059363) 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, 89152 + ... + 89655.

Almost surely, 245059364 is an apocalyptic number.

It is an amenable number.

45059364 is an abundant number, since it is smaller than the sum of its proper divisors (85112860).

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

45059364 is a wasteful number, since it uses less digits than its factorization.

45059364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178824 (or 178819 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45059364 is about 6712.6272054986. The cubic root of 45059364 is about 355.8456701763.

The spelling of 45059364 in words is "forty-five million, fifty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 178807 357614 536421 715228 1072842 1251649 1609263 2145684 2503298 3218526 3754947 5006596 6437052 7509894 11264841 15019788 22529682 45059364