Search a number
-
+
57668329 is a prime number
BaseRepresentation
bin1101101111111…
…1001011101001
311000111212002001
43123333023221
5104230341304
65420011001
71300113145
oct333771351
9130455061
1057668329
112a609084
1217390a61
13bc41894
147932225
1550e1da4
hex36ff2e9

57668329 has 2 divisors, whose sum is σ = 57668330. Its totient is φ = 57668328.

The previous prime is 57668309. The next prime is 57668333. The reversal of 57668329 is 92386675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41628304 + 16040025 = 6452^2 + 4005^2 .

It is a cyclic number.

It is not a de Polignac number, because 57668329 - 25 = 57668297 is a prime.

It is not a weakly prime, because it can be changed into another prime (57668309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28834164 + 28834165.

It is an arithmetic number, because the mean of its divisors is an integer number (28834165).

Almost surely, 257668329 is an apocalyptic number.

It is an amenable number.

57668329 is a deficient number, since it is larger than the sum of its proper divisors (1).

57668329 is an equidigital number, since it uses as much as digits as its factorization.

57668329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 46.

The square root of 57668329 is about 7593.9666183096. The cubic root of 57668329 is about 386.3484039695.

The spelling of 57668329 in words is "fifty-seven million, six hundred sixty-eight thousand, three hundred twenty-nine".