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864067864 = 2311192322469
BaseRepresentation
bin110011100000001…
…010000100011000
32020012220012021111
4303200022010120
53232200132424
6221423550104
730261312202
oct6340120430
92205805244
10864067864
1140381aa80
1220145b334
1310a02557a
1482a85772
1550cd0194
hex3380a118

864067864 has 64 divisors (see below), whose sum is σ = 1941408000. Its totient is φ = 355893120.

The previous prime is 864067859. The next prime is 864067873. The reversal of 864067864 is 468760468.

It is a super-2 number, since 2×8640678642 = 1493226547195044992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27222 + ... + 49690.

It is an arithmetic number, because the mean of its divisors is an integer number (30334500).

Almost surely, 2864067864 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 864067864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970704000).

864067864 is an abundant number, since it is smaller than the sum of its proper divisors (1077340136).

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

864067864 is a wasteful number, since it uses less digits than its factorization.

864067864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22524 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 864067864 is about 29395.0312808134. The cubic root of 864067864 is about 952.4655674227.

The spelling of 864067864 in words is "eight hundred sixty-four million, sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 3496 4807 9614 19228 22469 38456 44938 89876 179752 247159 426911 494318 516787 853822 988636 1033574 1707644 1977272 2067148 3415288 4134296 4696021 5684657 9392042 9818953 11369314 18784084 19637906 22738628 37568168 39275812 45477256 78551624 108008483 216016966 432033932 864067864