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855168849 = 32293276509
BaseRepresentation
bin110010111110001…
…101011101010001
32012121011002010100
4302332031131101
53222410400344
6220505123013
730122546433
oct6276153521
92177132110
10855168849
113a97a2017
121ba489469
1310822ab92
148180a653
1550123569
hex32f8d751

855168849 has 12 divisors (see below), whose sum is σ = 1277838900. Its totient is φ = 550453344.

The previous prime is 855168763. The next prime is 855168859. The reversal of 855168849 is 948861558.

It is a happy number.

855168849 is a `hidden beast` number, since 8 + 5 + 516 + 88 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252810000 + 602358849 = 15900^2 + 24543^2 .

It is not a de Polignac number, because 855168849 - 28 = 855168593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 855168795 and 855168804.

It is not an unprimeable number, because it can be changed into a prime (855168859) 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, 1637994 + ... + 1638515.

It is an arithmetic number, because the mean of its divisors is an integer number (106486575).

Almost surely, 2855168849 is an apocalyptic number.

It is an amenable number.

855168849 is a deficient number, since it is larger than the sum of its proper divisors (422670051).

855168849 is a wasteful number, since it uses less digits than its factorization.

855168849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276544 (or 3276541 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 855168849 is about 29243.2701488736. The cubic root of 855168849 is about 949.1844705599.

The spelling of 855168849 in words is "eight hundred fifty-five million, one hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 3 9 29 87 261 3276509 9829527 29488581 95018761 285056283 855168849