Search a number
-
+
57933056 = 28972333
BaseRepresentation
bin1101110011111…
…1110100000000
311001000022012202
43130333310000
5104312324211
65425412332
71302265016
oct334776400
9131008182
1057933056
112a779a65
121749a0a8
13c00521c
1479a08b6
15514553b
hex373fd00

57933056 has 36 divisors (see below), whose sum is σ = 116882052. Its totient is φ = 28655616.

The previous prime is 57933023. The next prime is 57933061. The reversal of 57933056 is 65033975.

It can be written as a sum of positive squares in 2 ways, for example, as 22886656 + 35046400 = 4784^2 + 5920^2 .

It is a congruent number.

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, 23666 + ... + 25998.

Almost surely, 257933056 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 57933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58441026).

57933056 is an abundant number, since it is smaller than the sum of its proper divisors (58948996).

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

57933056 is an equidigital number, since it uses as much as digits as its factorization.

57933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 38.

The square root of 57933056 is about 7611.3767480003. The cubic root of 57933056 is about 386.9386803116.

The spelling of 57933056 in words is "fifty-seven million, nine hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 2333 3104 4666 6208 9332 12416 18664 24832 37328 74656 149312 226301 298624 452602 597248 905204 1810408 3620816 7241632 14483264 28966528 57933056