Base | Representation |
---|---|
bin | 1101110010011… |
… | …1010100000000 |
3 | 11000211012120000 |
4 | 3130213110000 |
5 | 104301121304 |
6 | 5423320000 |
7 | 1301366316 |
oct | 334472400 |
9 | 130735500 |
10 | 57832704 |
11 | 2a710626 |
12 | 17450000 |
13 | bc9b647 |
14 | 79760b6 |
15 | 5125939 |
hex | 3727500 |
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".
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