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57704704 = 28534253
BaseRepresentation
bin1101110000100…
…0000100000000
311000120200222021
43130020010000
5104233022304
65420451224
71300324201
oct334100400
9130520867
1057704704
112a633442
12173a9b14
13bc552c5
1479415a8
1550eca54
hex3708100

57704704 has 36 divisors (see below), whose sum is σ = 117384876. Its totient is φ = 28301312.

The previous prime is 57704701. The next prime is 57704741. The reversal of 57704704 is 40740775.

It can be written as a sum of positive squares in 2 ways, for example, as 22278400 + 35426304 = 4720^2 + 5952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57704704.

It is not an unprimeable number, because it can be changed into a prime (57704701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11442 + ... + 15694.

It is an arithmetic number, because the mean of its divisors is an integer number (3260691).

Almost surely, 257704704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58692438).

57704704 is an abundant number, since it is smaller than the sum of its proper divisors (59680172).

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

57704704 is an equidigital number, since it uses as much as digits as its factorization.

57704704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The square root of 57704704 is about 7596.3612341699. The cubic root of 57704704 is about 386.4296182147.

The spelling of 57704704 in words is "fifty-seven million, seven hundred four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 4253 6784 8506 13568 17012 34024 68048 136096 225409 272192 450818 544384 901636 1088768 1803272 3606544 7213088 14426176 28852352 57704704