Search a number
-
+
52723241 is a prime number
BaseRepresentation
bin1100100100011…
…1111000101001
310200012121200122
43021013320221
5101444120431
65122013025
71210066034
oct311077051
9120177618
1052723241
112784082a
12157a7175
13abccaac
14700601b
154966a7b
hex3247e29

52723241 has 2 divisors, whose sum is σ = 52723242. Its totient is φ = 52723240.

The previous prime is 52723213. The next prime is 52723243. The reversal of 52723241 is 14232725.

52723241 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., 49056016 + 3667225 = 7004^2 + 1915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52723241 is a prime.

Together with 52723243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52723241.

It is not a weakly prime, because it can be changed into another prime (52723243) 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, 26361620 + 26361621.

It is an arithmetic number, because the mean of its divisors is an integer number (26361621).

Almost surely, 252723241 is an apocalyptic number.

It is an amenable number.

52723241 is a deficient number, since it is larger than the sum of its proper divisors (1).

52723241 is an equidigital number, since it uses as much as digits as its factorization.

52723241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 26.

The square root of 52723241 is about 7261.0771239534. The cubic root of 52723241 is about 374.9736064387.

Adding to 52723241 its reverse (14232725), we get a palindrome (66955966).

The spelling of 52723241 in words is "fifty-two million, seven hundred twenty-three thousand, two hundred forty-one".