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6808928 = 257113269
BaseRepresentation
bin11001111110010101100000
3110210221002112
4121332111200
53220341203
6401534452
7111606050
oct31762540
913727075
106808928
113930715
122344428
131545269
14c93560
158e76d8
hex67e560

6808928 has 48 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 2881536.

The previous prime is 6808927. The next prime is 6808969. The reversal of 6808928 is 8298086.

It is a happy number.

6808928 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

6808928 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25178 + ... + 25446.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 26808928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

6808928 is an abundant number, since it is smaller than the sum of its proper divisors (8704192).

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

6808928 is a wasteful number, since it uses less digits than its factorization.

6808928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 6808928 is about 2609.3922664099. The cubic root of 6808928 is about 189.5365250082.

The spelling of 6808928 in words is "six million, eight hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 269 452 538 791 904 1076 1582 1808 1883 2152 3164 3616 3766 4304 6328 7532 8608 12656 15064 25312 30128 30397 60256 60794 121588 212779 243176 425558 486352 851116 972704 1702232 3404464 6808928