Search a number
-
+
814245457 is a prime number
BaseRepresentation
bin110000100010000…
…110011001010001
32002202010221210011
4300202012121101
53131421323312
6212444034521
726114654314
oct6042063121
92082127704
10814245457
11388690733
121a8832a41
13cc8ccc5c
147a1d697b
154b73cda7
hex30886651

814245457 has 2 divisors, whose sum is σ = 814245458. Its totient is φ = 814245456.

The previous prime is 814245427. The next prime is 814245461. The reversal of 814245457 is 754542418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 464143936 + 350101521 = 21544^2 + 18711^2 .

It is a cyclic number.

It is not a de Polignac number, because 814245457 - 27 = 814245329 is a prime.

It is equal to p41840878 and since 814245457 and 41840878 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (814245427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407122728 + 407122729.

It is an arithmetic number, because the mean of its divisors is an integer number (407122729).

Almost surely, 2814245457 is an apocalyptic number.

It is an amenable number.

814245457 is a deficient number, since it is larger than the sum of its proper divisors (1).

814245457 is an equidigital number, since it uses as much as digits as its factorization.

814245457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 179200, while the sum is 40.

The square root of 814245457 is about 28534.9865428390. The cubic root of 814245457 is about 933.7955100287.

The spelling of 814245457 in words is "eight hundred fourteen million, two hundred forty-five thousand, four hundred fifty-seven".