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45570564 = 22321397373
BaseRepresentation
bin1010110111010…
…1101000000100
310011202020001200
42231311220010
543131224224
64304422500
71062225534
oct255655004
9104666050
1045570564
11237a5926
1213317a30
139597240
1460a34c4
1540025c9
hex2b75a04

45570564 has 36 divisors (see below), whose sum is σ = 124054476. Its totient is φ = 14021568.

The previous prime is 45570563. The next prime is 45570593. The reversal of 45570564 is 46507554.

It is a happy number.

45570564 is a `hidden beast` number, since 45 + 57 + 0 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 41602500 = 1992^2 + 6450^2 .

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 (45570563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48219 + ... + 49154.

Almost surely, 245570564 is an apocalyptic number.

It is an amenable number.

45570564 is an abundant number, since it is smaller than the sum of its proper divisors (78483912).

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

45570564 is a wasteful number, since it uses less digits than its factorization.

45570564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97396 (or 97391 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45570564 is about 6750.5973069055. The cubic root of 45570564 is about 357.1863067290.

The spelling of 45570564 in words is "forty-five million, five hundred seventy thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 97373 194746 292119 389492 584238 876357 1168476 1265849 1752714 2531698 3505428 3797547 5063396 7595094 11392641 15190188 22785282 45570564