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57696896 = 271133989
BaseRepresentation
bin1101110000011…
…0001010000000
311000120022021002
43130012022000
5104232300041
65420351132
71300262345
oct334061200
9130508232
1057696896
112a628594
12173a54a8
13bc5189a
14793c7cc
1550ea59b
hex3706280

57696896 has 32 divisors (see below), whose sum is σ = 115989300. Its totient is φ = 28585984.

The previous prime is 57696889. The next prime is 57696907. The reversal of 57696896 is 69869675.

It can be written as a sum of positive squares in 2 ways, for example, as 51265600 + 6431296 = 7160^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12470 + ... + 16458.

Almost surely, 257696896 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 57696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57994650).

57696896 is an abundant number, since it is smaller than the sum of its proper divisors (58292404).

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

57696896 is a wasteful number, since it uses less digits than its factorization.

57696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4104 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 56.

The square root of 57696896 is about 7595.8472865112. The cubic root of 57696896 is about 386.4121882171.

The spelling of 57696896 in words is "fifty-seven million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 3989 7232 7978 14464 15956 31912 63824 127648 255296 450757 510592 901514 1803028 3606056 7212112 14424224 28848448 57696896