Search a number
-
+
57979961 = 13291131361
BaseRepresentation
bin1101110100101…
…1010000111001
311001002200112222
43131023100321
5104320324321
65430413425
71302551534
oct335132071
9131080488
1057979961
112a801226
1217501275
13c020690
1479b3a1b
1551543ab
hex374b439

57979961 has 16 divisors (see below), whose sum is σ = 65212560. Its totient is φ = 51179520.

The previous prime is 57979939. The next prime is 57979973. The reversal of 57979961 is 16997975.

It can be written as a sum of positive squares in 8 ways, for example, as 23464336 + 34515625 = 4844^2 + 5875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57979961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57979921) 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, 41921 + ... + 43281.

It is an arithmetic number, because the mean of its divisors is an integer number (4075785).

Almost surely, 257979961 is an apocalyptic number.

It is an amenable number.

57979961 is a deficient number, since it is larger than the sum of its proper divisors (7232599).

57979961 is a wasteful number, since it uses less digits than its factorization.

57979961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516.

The product of its digits is 1071630, while the sum is 53.

The square root of 57979961 is about 7614.4573674031. The cubic root of 57979961 is about 387.0430793317.

The spelling of 57979961 in words is "fifty-seven million, nine hundred seventy-nine thousand, nine hundred sixty-one".

Divisors: 1 13 29 113 377 1361 1469 3277 17693 39469 42601 153793 513097 1999309 4459997 57979961