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6806896 = 242353349
BaseRepresentation
bin11001111101110101110000
3110210211022021
4121331311300
53220310041
6401521224
7111600115
oct31756560
913724267
106806896
11392a138
122343214
131544365
14c9290c
158e6cd1
hex67dd70

6806896 has 40 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 3184896.

The previous prime is 6806893. The next prime is 6806897. The reversal of 6806896 is 6986086.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806893) 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, 19330 + ... + 19678.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 26806896 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 6806896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

6806896 is an abundant number, since it is smaller than the sum of its proper divisors (7254704).

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

6806896 is a wasteful number, since it uses less digits than its factorization.

6806896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 6806896 is about 2609.0028746630. The cubic root of 6806896 is about 189.5176685628.

The spelling of 6806896 in words is "six million, eight hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 349 368 424 698 848 1219 1396 2438 2792 4876 5584 8027 9752 16054 18497 19504 32108 36994 64216 73988 128432 147976 295952 425431 850862 1701724 3403448 6806896