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8187201 = 321182699
BaseRepresentation
bin11111001110110101000001
3120101221201200
4133032311001
54043442301
6451251413
7126406251
oct37166501
916357650
108187201
114692190
1228a9b69
1319086c9
141131961
15abac86
hex7ced41

8187201 has 12 divisors (see below), whose sum is σ = 12901200. Its totient is φ = 4961880.

The previous prime is 8187197. The next prime is 8187211. The reversal of 8187201 is 1027818.

8187201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8187201 - 22 = 8187197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8187211) 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, 41251 + ... + 41448.

It is an arithmetic number, because the mean of its divisors is an integer number (1075100).

Almost surely, 28187201 is an apocalyptic number.

It is an amenable number.

8187201 is a deficient number, since it is larger than the sum of its proper divisors (4713999).

8187201 is a wasteful number, since it uses less digits than its factorization.

8187201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82716 (or 82713 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8187201 is about 2861.3285375853. The cubic root of 8187201 is about 201.5479959637.

The spelling of 8187201 in words is "eight million, one hundred eighty-seven thousand, two hundred one".

Divisors: 1 3 9 11 33 99 82699 248097 744291 909689 2729067 8187201