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768012688 = 242312716433
BaseRepresentation
bin101101110001101…
…111000110010000
31222112011002100101
4231301233012100
53033102401223
6204113102144
725014000022
oct5561570620
91875132311
10768012688
11364583333
12195257954
13c31634a1
1474000012
15476594ad
hex2dc6f190

768012688 has 40 divisors (see below), whose sum is σ = 1565042688. Its totient is φ = 364396032.

The previous prime is 768012677. The next prime is 768012731. The reversal of 768012688 is 886210867.

768012688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38520 + ... + 54952.

Almost surely, 2768012688 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 768012688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782521344).

768012688 is an abundant number, since it is smaller than the sum of its proper divisors (797030000).

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

768012688 is a wasteful number, since it uses less digits than its factorization.

768012688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 768012688 is about 27713.0418395383. The cubic root of 768012688 is about 915.7764371171.

The spelling of 768012688 in words is "seven hundred sixty-eight million, twelve thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 46 92 127 184 254 368 508 1016 2032 2921 5842 11684 16433 23368 32866 46736 65732 131464 262928 377959 755918 1511836 2086991 3023672 4173982 6047344 8347964 16695928 33391856 48000793 96001586 192003172 384006344 768012688