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6688864 = 257132297
BaseRepresentation
bin11001100001000001100000
3110120211101201
4121201001200
53203020424
6355210544
7110566030
oct31410140
913524351
106688864
113859496
1222a6a54
131502710
14c618c0
158c1d44
hex661060

6688864 has 48 divisors (see below), whose sum is σ = 16214688. Its totient is φ = 2644992.

The previous prime is 6688859. The next prime is 6688907. The reversal of 6688864 is 4688866.

It is a super-2 number, since 2×66888642 = 89481803220992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764 + ... + 4060.

It is an arithmetic number, because the mean of its divisors is an integer number (337806).

Almost surely, 26688864 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 6688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107344).

6688864 is an abundant number, since it is smaller than the sum of its proper divisors (9525824).

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

6688864 is a wasteful number, since it uses less digits than its factorization.

6688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2319 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 6688864 is about 2586.2838204652. The cubic root of 6688864 is about 188.4158592738.

The spelling of 6688864 in words is "six million, six hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2297 2912 4594 9188 16079 18376 29861 32158 36752 59722 64316 73504 119444 128632 209027 238888 257264 418054 477776 514528 836108 955552 1672216 3344432 6688864