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642604000 = 2553160651
BaseRepresentation
bin100110010011010…
…101101111100000
31122210011122222011
4212103111233200
52304001312000
6143433122304
721632021023
oct4623255740
91583148864
10642604000
112aa807995
1215b259394
13a319476c
14614b71ba
153b6362ba
hex264d5be0

642604000 has 48 divisors (see below), whose sum is σ = 1578887856. Its totient is φ = 257040000.

The previous prime is 642603989. The next prime is 642604009. The reversal of 642604000 is 406246.

642604000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642604009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76326 + ... + 84325.

It is an arithmetic number, because the mean of its divisors is an integer number (32893497).

Almost surely, 2642604000 is an apocalyptic number.

It is an amenable number.

642604000 is an abundant number, since it is smaller than the sum of its proper divisors (936283856).

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

642604000 is a wasteful number, since it uses less digits than its factorization.

642604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160676 (or 160658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 642604000 is about 25349.6351058551. The cubic root of 642604000 is about 862.9410752465.

The spelling of 642604000 in words is "six hundred forty-two million, six hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 160651 321302 642604 803255 1285208 1606510 2570416 3213020 4016275 5140832 6426040 8032550 12852080 16065100 20081375 25704160 32130200 40162750 64260400 80325500 128520800 160651000 321302000 642604000