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768040867 = 1171983407
BaseRepresentation
bin101101110001110…
…101111110100011
31222112012112000001
4231301311332203
53033104301432
6204113440431
725014145126
oct5561657643
91875175001
10768040867
113645a2520
12195270117
13c3173269
147400a3bd
15476629e7
hex2dc75fa3

768040867 has 8 divisors (see below), whose sum is σ = 849664512. Its totient is φ = 688384200.

The previous prime is 768040853. The next prime is 768040873.

768040867 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-768040867 is a prime.

It is a super-2 number, since 2×7680408672 = 1179773546764223378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768040837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490923 + ... + 492484.

It is an arithmetic number, because the mean of its divisors is an integer number (106208064).

Almost surely, 2768040867 is an apocalyptic number.

768040867 is a deficient number, since it is larger than the sum of its proper divisors (81623645).

768040867 is a wasteful number, since it uses less digits than its factorization.

768040867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983489.

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 768040867 is about 27713.5502417139. The cubic root of 768040867 is about 915.7876371702.

The spelling of 768040867 in words is "seven hundred sixty-eight million, forty thousand, eight hundred sixty-seven".

Divisors: 1 11 71 781 983407 10817477 69821897 768040867