Search a number
-
+
442016657 is a prime number
BaseRepresentation
bin11010010110001…
…010001110010001
31010210201202212022
4122112022032101
51401124013112
6111505541225
713645036205
oct3226121621
91123652768
10442016657
11207563725
12104044815
1370763024
14429c0b05
1528c12d72
hex1a58a391

442016657 has 2 divisors, whose sum is σ = 442016658. Its totient is φ = 442016656.

The previous prime is 442016647. The next prime is 442016669. The reversal of 442016657 is 756610244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 372644416 + 69372241 = 19304^2 + 8329^2 .

It is a cyclic number.

It is not a de Polignac number, because 442016657 - 216 = 441951121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (442016647) 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, 221008328 + 221008329.

It is an arithmetic number, because the mean of its divisors is an integer number (221008329).

Almost surely, 2442016657 is an apocalyptic number.

It is an amenable number.

442016657 is a deficient number, since it is larger than the sum of its proper divisors (1).

442016657 is an equidigital number, since it uses as much as digits as its factorization.

442016657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 442016657 is about 21024.1921842434. The cubic root of 442016657 is about 761.7507290598.

The spelling of 442016657 in words is "four hundred forty-two million, sixteen thousand, six hundred fifty-seven".