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814048817 is a prime number
BaseRepresentation
bin110000100001010…
…110011000110001
32002201202222001012
4300201112120301
53131344030232
6212435520305
726113205111
oct6041263061
92081688035
10814048817
11388566a1a
121a8759095
13cc8615ba
147a185041
154b6ee9b2
hex30856631

814048817 has 2 divisors, whose sum is σ = 814048818. Its totient is φ = 814048816.

The previous prime is 814048801. The next prime is 814048819. The reversal of 814048817 is 718840418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496353841 + 317694976 = 22279^2 + 17824^2 .

It is a cyclic number.

It is not a de Polignac number, because 814048817 - 24 = 814048801 is a prime.

Together with 814048819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (814048819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407024408 + 407024409.

It is an arithmetic number, because the mean of its divisors is an integer number (407024409).

Almost surely, 2814048817 is an apocalyptic number.

It is an amenable number.

814048817 is a deficient number, since it is larger than the sum of its proper divisors (1).

814048817 is an equidigital number, since it uses as much as digits as its factorization.

814048817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 814048817 is about 28531.5407400301. The cubic root of 814048817 is about 933.7203335443.

The spelling of 814048817 in words is "eight hundred fourteen million, forty-eight thousand, eight hundred seventeen".