Search a number
-
+
57869657 is a prime number
BaseRepresentation
bin1101110011000…
…0010101011001
311000220002020122
43130300111121
5104303312112
65424203025
71301612126
oct334602531
9130802218
1057869657
112a73636a
1217469475
13bcb2401
14798574d
155131872
hex3730559

57869657 has 2 divisors, whose sum is σ = 57869658. Its totient is φ = 57869656.

The previous prime is 57869629. The next prime is 57869659. The reversal of 57869657 is 75696875.

It is a happy number.

57869657 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., 57820816 + 48841 = 7604^2 + 221^2 .

It is a cyclic number.

It is not a de Polignac number, because 57869657 - 26 = 57869593 is a prime.

Together with 57869659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 57869599 and 57869608.

It is not a weakly prime, because it can be changed into another prime (57869659) 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, 28934828 + 28934829.

It is an arithmetic number, because the mean of its divisors is an integer number (28934829).

Almost surely, 257869657 is an apocalyptic number.

It is an amenable number.

57869657 is a deficient number, since it is larger than the sum of its proper divisors (1).

57869657 is an equidigital number, since it uses as much as digits as its factorization.

57869657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3175200, while the sum is 53.

The square root of 57869657 is about 7607.2108554976. The cubic root of 57869657 is about 386.7974800987.

The spelling of 57869657 in words is "fifty-seven million, eight hundred sixty-nine thousand, six hundred fifty-seven".