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57997456 = 24112291439
BaseRepresentation
bin1101110100111…
…1100010010000
311001010120112221
43131033202100
5104321404311
65431030424
71302653536
oct335174220
9131116487
1057997456
112a813390
121750b414
13c02862a
1479ba156
155159671
hex374f890

57997456 has 40 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 26229120.

The previous prime is 57997403. The next prime is 57997487. The reversal of 57997456 is 65479975.

It is a happy number.

57997456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 39585 + ... + 41023.

It is an arithmetic number, because the mean of its divisors is an integer number (3080160).

Almost surely, 257997456 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 57997456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

57997456 is an abundant number, since it is smaller than the sum of its proper divisors (65208944).

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

57997456 is a wasteful number, since it uses less digits than its factorization.

57997456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 52.

The square root of 57997456 is about 7615.6060822498. The cubic root of 57997456 is about 387.0820044914.

The spelling of 57997456 in words is "fifty-seven million, nine hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1439 1832 2519 2878 3664 5038 5756 10076 11512 15829 20152 23024 31658 40304 63316 126632 253264 329531 659062 1318124 2636248 3624841 5272496 7249682 14499364 28998728 57997456