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575364672 = 2632998897
BaseRepresentation
bin100010010010110…
…101111001000000
31111002122112221200
4202102311321000
52134243132142
6133032021200
720154343011
oct4222657100
91432575850
10575364672
11275861aa3
12140831800
139228168c
14565b3008
15357a364c
hex224b5e40

575364672 has 42 divisors (see below), whose sum is σ = 1649180598. Its totient is φ = 191788032.

The previous prime is 575364667. The next prime is 575364679. The reversal of 575364672 is 276463575.

575364672 is a `hidden beast` number, since 5 + 7 + 536 + 46 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301925376 + 273439296 = 17376^2 + 16536^2 .

It is not an unprimeable number, because it can be changed into a prime (575364679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 498873 + ... + 500024.

Almost surely, 2575364672 is an apocalyptic number.

It is an amenable number.

575364672 is an abundant number, since it is smaller than the sum of its proper divisors (1073815926).

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

575364672 is a wasteful number, since it uses less digits than its factorization.

575364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998915 (or 998902 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 575364672 is about 23986.7603481587. The cubic root of 575364672 is about 831.7275056843.

The spelling of 575364672 in words is "five hundred seventy-five million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 998897 1997794 2996691 3995588 5993382 7991176 8990073 11986764 15982352 17980146 23973528 31964704 35960292 47947056 63929408 71920584 95894112 143841168 191788224 287682336 575364672