Search a number
-
+
52852937 is a prime number
BaseRepresentation
bin1100100110011…
…1100011001001
310200110012121012
43021213203021
5102012243222
65124453305
71211146124
oct311474311
9120405535
1052852937
112791a215
121584a235
13ac46b37
14703b3bb
1549901e2
hex32678c9

52852937 has 2 divisors, whose sum is σ = 52852938. Its totient is φ = 52852936.

The previous prime is 52852907. The next prime is 52852939. The reversal of 52852937 is 73925825.

52852937 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., 52649536 + 203401 = 7256^2 + 451^2 .

It is a cyclic number.

It is not a de Polignac number, because 52852937 - 216 = 52787401 is a prime.

Together with 52852939, 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 = 52852894 and 52852903.

It is not a weakly prime, because it can be changed into another prime (52852939) 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, 26426468 + 26426469.

It is an arithmetic number, because the mean of its divisors is an integer number (26426469).

Almost surely, 252852937 is an apocalyptic number.

It is an amenable number.

52852937 is a deficient number, since it is larger than the sum of its proper divisors (1).

52852937 is an equidigital number, since it uses as much as digits as its factorization.

52852937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 151200, while the sum is 41.

The square root of 52852937 is about 7270.0025447038. The cubic root of 52852937 is about 375.2808254981.

The spelling of 52852937 in words is "fifty-two million, eight hundred fifty-two thousand, nine hundred thirty-seven".