Search a number
-
+
57389 is a prime number
BaseRepresentation
bin1110000000101101
32220201112
432000231
53314024
61121405
7326213
oct160055
986645
1057389
113a132
1229265
1320177
1416cb3
151200e
hexe02d

57389 has 2 divisors, whose sum is σ = 57390. Its totient is φ = 57388.

The previous prime is 57383. The next prime is 57397. The reversal of 57389 is 98375.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 4489 = 230^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 57389 - 24 = 57373 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28694 + 28695.

It is an arithmetic number, because the mean of its divisors is an integer number (28695).

257389 is an apocalyptic number.

It is an amenable number.

57389 is a deficient number, since it is larger than the sum of its proper divisors (1).

57389 is an equidigital number, since it uses as much as digits as its factorization.

57389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 57389 is about 239.5600133578. The cubic root of 57389 is about 38.5723606803.

The spelling of 57389 in words is "fifty-seven thousand, three hundred eighty-nine".