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57133932 = 223231371511
BaseRepresentation
bin1101100111110…
…0101101101100
310222111201000120
43121330231230
5104111241212
65400324540
71262426142
oct331745554
9128451016
1057133932
112a283629
1217173750
13bab557b
147833592
15503888c
hex367cb6c

57133932 has 48 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 18071680.

The previous prime is 57133907. The next prime is 57133939. The reversal of 57133932 is 23933175.

It is a junction number, because it is equal to n+sod(n) for n = 57133893 and 57133902.

It is not an unprimeable number, because it can be changed into a prime (57133939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37057 + ... + 38567.

It is an arithmetic number, because the mean of its divisors is an integer number (2921184).

Almost surely, 257133932 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 57133932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

57133932 is an abundant number, since it is smaller than the sum of its proper divisors (83082900).

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

57133932 is a wasteful number, since it uses less digits than its factorization.

57133932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its digits is 17010, while the sum is 33.

The square root of 57133932 is about 7558.6990944209. The cubic root of 57133932 is about 385.1513027619.

The spelling of 57133932 in words is "fifty-seven million, one hundred thirty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 411 548 822 1511 1644 3022 3151 4533 6044 6302 9066 9453 12604 18132 18906 34753 37812 69506 104259 139012 207007 208518 414014 417036 621021 828028 1242042 2484084 4761161 9522322 14283483 19044644 28566966 57133932