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768824385 = 3577322137
BaseRepresentation
bin101101110100110…
…101010001000001
31222120200022210020
4231310311101001
53033304340020
6204142324053
725023620340
oct5564652101
91876608706
10768824385
11364a8815a
12195589629
13c3388a94
1474171b57
1547769c40
hex2dd35441

768824385 has 16 divisors (see below), whose sum is σ = 1405850496. Its totient is φ = 351462528.

The previous prime is 768824383. The next prime is 768824387. The reversal of 768824385 is 583428867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768824383) and next prime (768824387).

It is not a de Polignac number, because 768824385 - 21 = 768824383 is a prime.

It is a super-3 number, since 3×7688243853 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (768824383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3660964 + ... + 3661173.

It is an arithmetic number, because the mean of its divisors is an integer number (87865656).

Almost surely, 2768824385 is an apocalyptic number.

It is an amenable number.

768824385 is a deficient number, since it is larger than the sum of its proper divisors (637026111).

768824385 is a wasteful number, since it uses less digits than its factorization.

768824385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322152.

The product of its digits is 2580480, while the sum is 51.

The square root of 768824385 is about 27727.6826474915. The cubic root of 768824385 is about 916.0989453607.

The spelling of 768824385 in words is "seven hundred sixty-eight million, eight hundred twenty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 7322137 21966411 36610685 51254959 109832055 153764877 256274795 768824385