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268402688 = 2158191
BaseRepresentation
bin11111111111110…
…00000000000000
3200201001021021022
433333320000000
51022202341223
642344445012
76436246061
oct1777700000
9621037238
10268402688
11128562a04
1275a79768
13437b6a78
142790a568
151886bac8
hexfff8000

268402688 has 32 divisors (see below), whose sum is σ = 536862720. Its totient is φ = 134184960.

The previous prime is 268402679. The next prime is 268402697. The reversal of 268402688 is 886204862.

It is a Cunningham number, because it is equal to 163832-1.

It is an interprime number because it is at equal distance from previous prime (268402679) and next prime (268402697).

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28673 + ... + 36863.

It is an arithmetic number, because the mean of its divisors is an integer number (16776960).

Almost surely, 2268402688 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 268402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268431360).

268402688 is an abundant number, since it is smaller than the sum of its proper divisors (268460032).

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

268402688 is an frugal number, since it uses more digits than its factorization.

268402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 268402688 is about 16382.9999694806. Note that the first 4 decimals coincide. The cubic root of 268402688 is about 645.0533281228.

The spelling of 268402688 in words is "two hundred sixty-eight million, four hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8191 8192 16382 16384 32764 32768 65528 131056 262112 524224 1048448 2096896 4193792 8387584 16775168 33550336 67100672 134201344 268402688