Search a number
-
+
815738849 is a prime number
BaseRepresentation
bin110000100111110…
…010111111100001
32002211221211022222
4300213302333201
53132312120344
6212540040425
726133444242
oct6047627741
92084854288
10815738849
11389510742
121a9233115
13100003913
147a4a4cc9
154b9355ee
hex309f2fe1

815738849 has 2 divisors, whose sum is σ = 815738850. Its totient is φ = 815738848.

The previous prime is 815738831. The next prime is 815738899. The reversal of 815738849 is 948837518.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 457318225 + 358420624 = 21385^2 + 18932^2 .

It is a cyclic number.

It is not a de Polignac number, because 815738849 - 220 = 814690273 is a prime.

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 815738849.

It is not a weakly prime, because it can be changed into another prime (815738899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407869424 + 407869425.

It is an arithmetic number, because the mean of its divisors is an integer number (407869425).

Almost surely, 2815738849 is an apocalyptic number.

It is an amenable number.

815738849 is a deficient number, since it is larger than the sum of its proper divisors (1).

815738849 is an equidigital number, since it uses as much as digits as its factorization.

815738849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1935360, while the sum is 53.

The square root of 815738849 is about 28561.1422915821. The cubic root of 815738849 is about 934.3660468548.

The spelling of 815738849 in words is "eight hundred fifteen million, seven hundred thirty-eight thousand, eight hundred forty-nine".