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642537072 = 243210343321
BaseRepresentation
bin100110010011000…
…101011001110000
31122210001021011100
4212103011121300
52303442141242
6143431444400
721631321632
oct4623053160
91583037140
10642537072
112aa771681
1215b226700
13a3170168
146149aa52
153b62154c
hex264c5670

642537072 has 60 divisors (see below), whose sum is σ = 1815711664. Its totient is φ = 212094720.

The previous prime is 642537061. The next prime is 642537109. The reversal of 642537072 is 270735246.

It is a happy number.

642537072 is a `hidden beast` number, since 642 + 5 + 3 + 7 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 6829 + ... + 36492.

Almost surely, 2642537072 is an apocalyptic number.

It is an amenable number.

642537072 is an abundant number, since it is smaller than the sum of its proper divisors (1173174592).

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

642537072 is a wasteful number, since it uses less digits than its factorization.

642537072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43438 (or 43429 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 642537072 is about 25348.3149735835. The cubic root of 642537072 is about 862.9111154136.

The spelling of 642537072 in words is "six hundred forty-two million, five hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 14832 43321 86642 129963 173284 259926 346568 389889 519852 693136 779778 1039704 1559556 2079408 3119112 4462063 6238224 8924126 13386189 17848252 26772378 35696504 40158567 53544756 71393008 80317134 107089512 160634268 214179024 321268536 642537072