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6896896 = 2829929
BaseRepresentation
bin11010010011110100000000
3110222101202121
4122103310000
53231200041
6403454024
7112423366
oct32236400
913871677
106896896
113990816
122387314
131576306
14cb7636
159137d1
hex693d00

6896896 has 36 divisors (see below), whose sum is σ = 14256900. Its totient is φ = 3325952.

The previous prime is 6896893. The next prime is 6896909. The reversal of 6896896 is 6986986.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 5456896 = 1200^2 + 2336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6960 + ... + 7888.

It is an arithmetic number, because the mean of its divisors is an integer number (396025).

Almost surely, 26896896 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 6896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128450).

6896896 is an abundant number, since it is smaller than the sum of its proper divisors (7360004).

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

6896896 is an equidigital number, since it uses as much as digits as its factorization.

6896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The square root of 6896896 is about 2626.1942045477. The cubic root of 6896896 is about 190.3492744376.

The spelling of 6896896 in words is "six million, eight hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 929 1856 1858 3712 3716 7424 7432 14864 26941 29728 53882 59456 107764 118912 215528 237824 431056 862112 1724224 3448448 6896896