Search a number
-
+
57112896 = 263476329
BaseRepresentation
bin1101100111011…
…1100101000000
310222110122011110
43121313211000
5104110103041
65400043320
71262310621
oct331674500
9128418143
1057112896
112a269845
1217163540
13baa8b19
147829a48
155032516
hex3677940

57112896 has 56 divisors (see below), whose sum is σ = 154350720. Its totient is φ = 18629632.

The previous prime is 57112873. The next prime is 57112927. The reversal of 57112896 is 69821175.

57112896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5860 + ... + 12188.

Almost surely, 257112896 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 57112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77175360).

57112896 is an abundant number, since it is smaller than the sum of its proper divisors (97237824).

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

57112896 is a wasteful number, since it uses less digits than its factorization.

57112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6381 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 57112896 is about 7557.3074570246. The cubic root of 57112896 is about 385.1040276601.

The spelling of 57112896 in words is "fifty-seven million, one hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 6329 9024 12658 18987 25316 37974 50632 75948 101264 151896 202528 297463 303792 405056 594926 607584 892389 1189852 1215168 1784778 2379704 3569556 4759408 7139112 9518816 14278224 19037632 28556448 57112896