Search a number
-
+
57785857 is a prime number
BaseRepresentation
bin1101110001101…
…1111000000001
311000201211021221
43130123320001
5104243121412
65422315041
71301112613
oct334337001
9130654257
1057785857
112a689408
1217428a81
13bc8321c
147962db3
155116b07
hex371be01

57785857 has 2 divisors, whose sum is σ = 57785858. Its totient is φ = 57785856.

The previous prime is 57785843. The next prime is 57785863. The reversal of 57785857 is 75858775.

57785857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55487601 + 2298256 = 7449^2 + 1516^2 .

It is a cyclic number.

It is not a de Polignac number, because 57785857 - 211 = 57783809 is a prime.

It is not a weakly prime, because it can be changed into another prime (57785807) by changing a digit.

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 as a sum of consecutive naturals, namely, 28892928 + 28892929.

It is an arithmetic number, because the mean of its divisors is an integer number (28892929).

Almost surely, 257785857 is an apocalyptic number.

It is an amenable number.

57785857 is a deficient number, since it is larger than the sum of its proper divisors (1).

57785857 is an equidigital number, since it uses as much as digits as its factorization.

57785857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2744000, while the sum is 52.

The square root of 57785857 is about 7601.7009280818. The cubic root of 57785857 is about 386.6106851012.

The spelling of 57785857 in words is "fifty-seven million, seven hundred eighty-five thousand, eight hundred fifty-seven".