Search a number
-
+
52332257 is a prime number
BaseRepresentation
bin1100011110100…
…0011011100001
310122110202100202
43013220123201
5101344113012
65105354545
71203550115
oct307503341
9118422322
1052332257
11275a3aaa
1215638a55
13aac3b43
146d43745
1548dacc2
hex31e86e1

52332257 has 2 divisors, whose sum is σ = 52332258. Its totient is φ = 52332256.

The previous prime is 52332223. The next prime is 52332263. The reversal of 52332257 is 75223325.

It is a happy number.

52332257 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., 48427681 + 3904576 = 6959^2 + 1976^2 .

It is a cyclic number.

It is not a de Polignac number, because 52332257 - 26 = 52332193 is a prime.

It is not a weakly prime, because it can be changed into another prime (52332457) 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, 26166128 + 26166129.

It is an arithmetic number, because the mean of its divisors is an integer number (26166129).

Almost surely, 252332257 is an apocalyptic number.

It is an amenable number.

52332257 is a deficient number, since it is larger than the sum of its proper divisors (1).

52332257 is an equidigital number, since it uses as much as digits as its factorization.

52332257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12600, while the sum is 29.

The square root of 52332257 is about 7234.1037454546. The cubic root of 52332257 is about 374.0443983438.

The spelling of 52332257 in words is "fifty-two million, three hundred thirty-two thousand, two hundred fifty-seven".