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642552080 = 24516974733
BaseRepresentation
bin100110010011001…
…001000100010000
31122210002000202012
4212103021010100
52303443131310
6143432042052
721631413452
oct4623110420
91583060665
10642552080
112aa781985
1215b233328
13a3176c41
14614a22d2
153b625c05
hex264c9110

642552080 has 40 divisors (see below), whose sum is σ = 1495129752. Its totient is φ = 256815104.

The previous prime is 642552061. The next prime is 642552083. The reversal of 642552080 is 80255246.

It can be written as a sum of positive squares in 4 ways, for example, as 117592336 + 524959744 = 10844^2 + 22912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (642552083) 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, 133394 + ... + 138126.

Almost surely, 2642552080 is an apocalyptic number.

It is an amenable number.

642552080 is an abundant number, since it is smaller than the sum of its proper divisors (852577672).

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

642552080 is a wasteful number, since it uses less digits than its factorization.

642552080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 642552080 is about 25348.6110073116. The cubic root of 642552080 is about 862.9178338167.

The spelling of 642552080 in words is "six hundred forty-two million, five hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1697 3394 4733 6788 8485 9466 13576 16970 18932 23665 27152 33940 37864 47330 67880 75728 94660 135760 189320 378640 8031901 16063802 32127604 40159505 64255208 80319010 128510416 160638020 321276040 642552080