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863008768 = 211835077
BaseRepresentation
bin110011011100000…
…111100000000000
32020010220101110201
4303130013200000
53231412240033
6221345134544
730246311356
oct6334074000
92203811421
10863008768
11403167296
1220102a454
13109a4449b
148288b7d6
1550b7147d
hex33707800

863008768 has 48 divisors (see below), whose sum is σ = 1746730440. Its totient is φ = 426221568.

The previous prime is 863008733. The next prime is 863008771. The reversal of 863008768 is 867800368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167446 + ... + 172522.

Almost surely, 2863008768 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 863008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873365220).

863008768 is an abundant number, since it is smaller than the sum of its proper divisors (883721672).

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

863008768 is an equidigital number, since it uses as much as digits as its factorization.

863008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 863008768 is about 29377.0108758532. The cubic root of 863008768 is about 952.0762596915.

The spelling of 863008768 in words is "eight hundred sixty-three million, eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2048 2656 5077 5312 10154 10624 20308 21248 40616 42496 81232 84992 162464 169984 324928 421391 649856 842782 1299712 1685564 2599424 3371128 5198848 6742256 10397696 13484512 26969024 53938048 107876096 215752192 431504384 863008768