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455555993 is a prime number
BaseRepresentation
bin11011001001110…
…011101110011001
31011202012122100012
4123021303232121
51413110242433
6113112051305
714201106404
oct3311635631
91152178305
10455555993
11214170a62
12108693b35
13734c3879
1444706d3b
1529ed9848
hex1b273b99

455555993 has 2 divisors, whose sum is σ = 455555994. Its totient is φ = 455555992.

The previous prime is 455555957. The next prime is 455556011. The reversal of 455555993 is 399555554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443186704 + 12369289 = 21052^2 + 3517^2 .

It is a cyclic number.

It is not a de Polignac number, because 455555993 - 26 = 455555929 is a prime.

It is a super-3 number, since 3×4555559933 (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (455555293) 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, 227777996 + 227777997.

It is an arithmetic number, because the mean of its divisors is an integer number (227777997).

Almost surely, 2455555993 is an apocalyptic number.

It is an amenable number.

455555993 is a deficient number, since it is larger than the sum of its proper divisors (1).

455555993 is an equidigital number, since it uses as much as digits as its factorization.

455555993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3037500, while the sum is 50.

The square root of 455555993 is about 21343.7577057087. The cubic root of 455555993 is about 769.4503262044.

The spelling of 455555993 in words is "four hundred fifty-five million, five hundred fifty-five thousand, nine hundred ninety-three".