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5828351201 = 6127121301
BaseRepresentation
bin1010110110110010…
…11001010011100001
3120001012001220210022
411123121121103201
543414024214301
62402201443225
7264301111361
oct53331312341
916035056708
105828351201
112520a52582
121167aa0515
1371b65a12a
143d40ca9a1
15241a2dd1b
hex15b6594e1

5828351201 has 12 divisors (see below), whose sum is σ = 5950408212. Its totient is φ = 5707260000.

The previous prime is 5828351197. The next prime is 5828351219. The reversal of 5828351201 is 1021538285.

It can be written as a sum of positive squares in 2 ways, for example, as 70576801 + 5757774400 = 8401^2 + 75880^2 .

It is not a de Polignac number, because 5828351201 - 22 = 5828351197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5828351101) 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 in 11 ways as a sum of consecutive naturals, for example, 4479251 + ... + 4480551.

It is an arithmetic number, because the mean of its divisors is an integer number (495867351).

Almost surely, 25828351201 is an apocalyptic number.

It is an amenable number.

5828351201 is a deficient number, since it is larger than the sum of its proper divisors (122057011).

5828351201 is an equidigital number, since it uses as much as digits as its factorization.

5828351201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 5828351201 is about 76343.6389033166. The cubic root of 5828351201 is about 1799.6245308412.

Adding to 5828351201 its reverse (1021538285), we get a palindrome (6849889486).

The spelling of 5828351201 in words is "five billion, eight hundred twenty-eight million, three hundred fifty-one thousand, two hundred one".

Divisors: 1 61 271 1301 16531 73441 79361 352571 4479901 21506831 95546741 5828351201