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768238021 = 5325756401
BaseRepresentation
bin101101110010100…
…110000111000101
31222112120112110001
4231302212013011
53033132104041
6204122001301
725015625665
oct5562460705
91875515401
10768238021
11364717661
12195346231
13c3211c15
147405c1a5
15476a1131
hex2dca61c5

768238021 has 8 divisors (see below), whose sum is σ = 785792664. Its totient is φ = 750796800.

The previous prime is 768237961. The next prime is 768238069. The reversal of 768238021 is 120832867.

768238021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 474629796 + 293608225 = 21786^2 + 17135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 768238021 - 27 = 768237893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768233021) 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, 14580 + ... + 41821.

It is an arithmetic number, because the mean of its divisors is an integer number (98224083).

Almost surely, 2768238021 is an apocalyptic number.

It is an amenable number.

768238021 is a deficient number, since it is larger than the sum of its proper divisors (17554643).

768238021 is a wasteful number, since it uses less digits than its factorization.

768238021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56711.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 768238021 is about 27717.1070099316. The cubic root of 768238021 is about 915.8659905308.

The spelling of 768238021 in words is "seven hundred sixty-eight million, two hundred thirty-eight thousand, twenty-one".

Divisors: 1 53 257 13621 56401 2989253 14495057 768238021