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57832704 = 28342789
BaseRepresentation
bin1101110010011…
…1010100000000
311000211012120000
43130213110000
5104301121304
65423320000
71301366316
oct334472400
9130735500
1057832704
112a710626
1217450000
13bc9b647
1479760b6
155125939
hex3727500

57832704 has 90 divisors (see below), whose sum is σ = 172508490. Its totient is φ = 19270656.

The previous prime is 57832703. The next prime is 57832729. The reversal of 57832704 is 40723875.

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 5992704 = 7200^2 + 2448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57832703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19342 + ... + 22130.

It is an arithmetic number, because the mean of its divisors is an integer number (1916761).

Almost surely, 257832704 is an apocalyptic number.

57832704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86254245).

57832704 is an abundant number, since it is smaller than the sum of its proper divisors (114675786).

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

57832704 is an equidigital number, since it uses as much as digits as its factorization.

57832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57832704 is about 7604.7816536703. The cubic root of 57832704 is about 386.7151319882.

The spelling of 57832704 in words is "fifty-seven million, eight hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2789 3456 5184 5578 6912 8367 10368 11156 16734 20736 22312 25101 33468 44624 50202 66936 75303 89248 100404 133872 150606 178496 200808 225909 267744 301212 356992 401616 451818 535488 602424 713984 803232 903636 1070976 1204848 1606464 1807272 2141952 2409696 3212928 3614544 4819392 6425856 7229088 9638784 14458176 19277568 28916352 57832704