Search a number
-
+
6888096 = 253223917
BaseRepresentation
bin11010010001101010100000
3110221221200200
4122101222200
53230404341
6403345200
7112355625
oct32215240
913857620
106888096
113985146
122382200
1315722c7
14cb434c
15910db6
hex691aa0

6888096 has 36 divisors (see below), whose sum is σ = 19588842. Its totient is φ = 2295936.

The previous prime is 6888053. The next prime is 6888097. The reversal of 6888096 is 6908886.

It can be written as a sum of positive squares in only one way, i.e., 5588496 + 1299600 = 2364^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×68880963 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6888097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11671 + ... + 12246.

Almost surely, 26888096 is an apocalyptic number.

It is an amenable number.

6888096 is an abundant number, since it is smaller than the sum of its proper divisors (12700746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6888096 is a wasteful number, since it uses less digits than its factorization.

6888096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23933 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6888096 is about 2624.5182415064. The cubic root of 6888096 is about 190.2682821308.

The spelling of 6888096 in words is "six million, eight hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 23917 47834 71751 95668 143502 191336 215253 287004 382672 430506 574008 765344 861012 1148016 1722024 2296032 3444048 6888096