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657242384 = 24349117701
BaseRepresentation
bin100111001011001…
…011100100010000
31200210201101001112
4213023023210100
52321223224014
6145114552452
722200316361
oct4713134420
91623641045
10657242384
11307aa5a27
12164138728
13a621b626
1463407b68
153ca7873e
hex272cb910

657242384 has 20 divisors (see below), whose sum is σ = 1277066700. Its totient is φ = 327676800.

The previous prime is 657242371. The next prime is 657242413. The reversal of 657242384 is 483242756.

It can be written as a sum of positive squares in 2 ways, for example, as 512569600 + 144672784 = 22640^2 + 12028^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 53267 + ... + 64434.

It is an arithmetic number, because the mean of its divisors is an integer number (63853335).

Almost surely, 2657242384 is an apocalyptic number.

It is an amenable number.

657242384 is a deficient number, since it is larger than the sum of its proper divisors (619824316).

657242384 is a wasteful number, since it uses less digits than its factorization.

657242384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118058 (or 118052 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The square root of 657242384 is about 25636.7389501863. The cubic root of 657242384 is about 869.4444791106. Note that the first 4 decimals are identical.

The spelling of 657242384 in words is "six hundred fifty-seven million, two hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 349 698 1396 2792 5584 117701 235402 470804 941608 1883216 41077649 82155298 164310596 328621192 657242384