Search a number
-
+
57133957 = 173790833
BaseRepresentation
bin1101100111110…
…0101110000101
310222111201001111
43121330232011
5104111241312
65400325021
71262426206
oct331745605
9128451044
1057133957
112a283651
1217173771
13bab559a
1478335ad
1550388a7
hex367cb85

57133957 has 8 divisors (see below), whose sum is σ = 62130456. Its totient is φ = 52319232.

The previous prime is 57133939. The next prime is 57134009. The reversal of 57133957 is 75933175.

It can be written as a sum of positive squares in 4 ways, for example, as 32273761 + 24860196 = 5681^2 + 4986^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57133957 - 27 = 57133829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57133907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44788 + ... + 46045.

It is an arithmetic number, because the mean of its divisors is an integer number (7766307).

Almost surely, 257133957 is an apocalyptic number.

It is an amenable number.

57133957 is a deficient number, since it is larger than the sum of its proper divisors (4996499).

57133957 is a wasteful number, since it uses less digits than its factorization.

57133957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90887.

The product of its digits is 99225, while the sum is 40.

The square root of 57133957 is about 7558.7007481445. The cubic root of 57133957 is about 385.1513589386.

The spelling of 57133957 in words is "fifty-seven million, one hundred thirty-three thousand, nine hundred fifty-seven".

Divisors: 1 17 37 629 90833 1544161 3360821 57133957