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856016201 = 372812293
BaseRepresentation
bin110011000001011…
…100010101001001
32012122202010110202
4303001130111021
53223120004301
6220535221545
730133006025
oct6301342511
92178663422
10856016201
113aa220707
121ba8178b5
13108466781
148198b385
155023e66b
hex3305c549

856016201 has 12 divisors (see below), whose sum is σ = 885302796. Its totient is φ = 827084160.

The previous prime is 856016167. The next prime is 856016209. The reversal of 856016201 is 102610658.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 340771600 + 515244601 = 18460^2 + 22699^2 .

It is not a de Polignac number, because 856016201 - 218 = 855754057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (856016209) 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 in 11 ways as a sum of consecutive naturals, for example, 2921411 + ... + 2921703.

It is an arithmetic number, because the mean of its divisors is an integer number (73775233).

Almost surely, 2856016201 is an apocalyptic number.

It is an amenable number.

856016201 is a deficient number, since it is larger than the sum of its proper divisors (29286595).

856016201 is an equidigital number, since it uses as much as digits as its factorization.

856016201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 856016201 is about 29257.7545447357. The cubic root of 856016201 is about 949.4978698219.

Adding to 856016201 its reverse (102610658), we get a palindrome (958626859).

The spelling of 856016201 in words is "eight hundred fifty-six million, sixteen thousand, two hundred one".

Divisors: 1 37 281 293 10397 10841 78961 82333 2921557 3046321 23135573 856016201