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9312993 = 321815717
BaseRepresentation
bin100011100001…
…101011100001
3122112011000200
4203201223201
54341003433
6531335413
7142105404
oct43415341
918464020
109312993
115290a98
123151569
131c10c61
141345d3b
15c3e613
hex8e1ae1

9312993 has 12 divisors (see below), whose sum is σ = 13528788. Its totient is φ = 6173280.

The previous prime is 9312967. The next prime is 9312997. The reversal of 9312993 is 3992139.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 7273809 = 1428^2 + 2697^2 .

It is not a de Polignac number, because 9312993 - 218 = 9050849 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9312997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (1127399).

Almost surely, 29312993 is an apocalyptic number.

It is an amenable number.

9312993 is a deficient number, since it is larger than the sum of its proper divisors (4215795).

9312993 is a wasteful number, since it uses less digits than its factorization.

9312993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5901 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 9312993 is about 3051.7196791318. The cubic root of 9312993 is about 210.3922600366.

The spelling of 9312993 in words is "nine million, three hundred twelve thousand, nine hundred ninety-three".

Divisors: 1 3 9 181 543 1629 5717 17151 51453 1034777 3104331 9312993