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642370000 = 245464237
BaseRepresentation
bin100110010010011…
…100100111010000
31122202201202222111
4212102130213100
52303421320000
6143424115104
721630024556
oct4622344720
91582652874
10642370000
112aa6680a8
1215b165a94
13a31120bc
1461455bd6
153b5dbcba
hex2649c9d0

642370000 has 50 divisors (see below), whose sum is σ = 1555266218. Its totient is φ = 256944000.

The previous prime is 642369983. The next prime is 642370019. The reversal of 642370000 is 73246.

It can be written as a sum of positive squares in 5 ways, for example, as 162409536 + 479960464 = 12744^2 + 21908^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22119 + ... + 42118.

Almost surely, 2642370000 is an apocalyptic number.

It is an amenable number.

642370000 is an abundant number, since it is smaller than the sum of its proper divisors (912896218).

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

642370000 is an equidigital number, since it uses as much as digits as its factorization.

642370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64265 (or 64244 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 642370000 is about 25345.0192345557. The cubic root of 642370000 is about 862.8363177666.

The spelling of 642370000 in words is "six hundred forty-two million, three hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 64237 128474 256948 321185 513896 642370 1027792 1284740 1605925 2569480 3211850 5138960 6423700 8029625 12847400 16059250 25694800 32118500 40148125 64237000 80296250 128474000 160592500 321185000 642370000