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642356832 = 253132172137
BaseRepresentation
bin100110010010011…
…001011001100000
31122202201002220210
4212102121121200
52303420404312
6143423534120
721626641305
oct4622313140
91582632823
10642356832
112aa659217
1215b15a340
13a3109100
14614510ac
153b5d7e3c
hex26499660

642356832 has 216 divisors, whose sum is σ = 1953750456. Its totient is φ = 184664064.

The previous prime is 642356801. The next prime is 642356861. The reversal of 642356832 is 238653246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4688668 + ... + 4688804.

It is an arithmetic number, because the mean of its divisors is an integer number (9045141).

Almost surely, 2642356832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642356832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976875228).

642356832 is an abundant number, since it is smaller than the sum of its proper divisors (1311393624).

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

642356832 is a wasteful number, since it uses less digits than its factorization.

642356832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 642356832 is about 25344.7594583180. The cubic root of 642356832 is about 862.8304219401.

The spelling of 642356832 in words is "six hundred forty-two million, three hundred fifty-six thousand, eight hundred thirty-two".