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642852 = 223272551
BaseRepresentation
bin10011100111100100100
31012122211100
42130330210
5131032402
621440100
75315130
oct2347444
91178740
10642852
113a9a91
12270030
131967b2
1412a3c0
15ca71c
hex9cf24

642852 has 36 divisors (see below), whose sum is σ = 1857856. Its totient is φ = 183600.

The previous prime is 642833. The next prime is 642853. The reversal of 642852 is 258246.

642852 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 not an unprimeable number, because it can be changed into a prime (642853) by changing a digit.

642852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024 + ... + 1527.

2642852 is an apocalyptic number.

It is an amenable number.

642852 is an abundant number, since it is smaller than the sum of its proper divisors (1215004).

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

642852 is a wasteful number, since it uses less digits than its factorization.

642852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2563 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 642852 is about 801.7805185960. The cubic root of 642852 is about 86.3052072513.

It can be divided in two parts, 64 and 2852, that added together give a square (2916 = 542).

The spelling of 642852 in words is "six hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2551 5102 7653 10204 15306 17857 22959 30612 35714 45918 53571 71428 91836 107142 160713 214284 321426 642852