Search a number
-
+
8097593 = 72179721
BaseRepresentation
bin11110111000111100111001
3120020101210212
4132320330321
54033110333
6445320505
7125554100
oct36707471
916211725
108097593
114630929
122866135
1318a699a
14110b037
15a9e448
hex7b8f39

8097593 has 12 divisors (see below), whose sum is σ = 9974772. Its totient is φ = 6531840.

The previous prime is 8097581. The next prime is 8097599. The reversal of 8097593 is 3957908.

8097593 is digitally balanced in base 3, 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 2 ways, for example, as 2729104 + 5368489 = 1652^2 + 2317^2 .

It is a de Polignac number, because none of the positive numbers 2k-8097593 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8097593.

It is not an unprimeable number, because it can be changed into a prime (8097599) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4028 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (831231).

Almost surely, 28097593 is an apocalyptic number.

It is an amenable number.

8097593 is a deficient number, since it is larger than the sum of its proper divisors (1877179).

8097593 is a wasteful number, since it uses less digits than its factorization.

8097593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9752 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 8097593 is about 2845.6269959360. The cubic root of 8097593 is about 200.8099901513.

The spelling of 8097593 in words is "eight million, ninety-seven thousand, five hundred ninety-three".

Divisors: 1 7 17 49 119 833 9721 68047 165257 476329 1156799 8097593