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982885201 = 10722932
BaseRepresentation
bin111010100101011…
…010001101010001
32112111110202000121
4322211122031101
54003104311301
6241310350241
733233246344
oct7245321521
92474422017
10982885201
114648a4221
122351bb381
1312882709c
149477445b
155b4503a1
hex3a95a351

982885201 has 9 divisors (see below), whose sum is σ = 995554651. Its totient is φ = 970376152.

The previous prime is 982885199. The next prime is 982885229. The reversal of 982885201 is 102588289.

The square root of 982885201 is 31351.

It is a perfect power (a square), and thus also a powerful number.

982885201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 929945025 + 52940176 = 30495^2 + 7276^2 .

It is not a de Polignac number, because 982885201 - 21 = 982885199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (982885231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3354411 + ... + 3354703.

Almost surely, 2982885201 is an apocalyptic number.

982885201 is the 31351-st square number.

982885201 is the 15676-th centered octagonal number.

It is an amenable number.

982885201 is a deficient number, since it is larger than the sum of its proper divisors (12669450).

982885201 is an frugal number, since it uses more digits than its factorization.

982885201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The cubic root of 982885201 is about 994.2622077066.

The spelling of 982885201 in words is "nine hundred eighty-two million, eight hundred eighty-five thousand, two hundred one".

Divisors: 1 107 293 11449 31351 85849 3354557 9185843 982885201