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868808868 = 22317101149283
BaseRepresentation
bin110011110010001…
…111100010100100
32020112211001201020
4303302033202210
53234403340433
6222113331140
730346516314
oct6362174244
92215731636
10868808868
11406468a64
12202b66ab0
1310acc54b5
148355b444
1551419cb3
hex33c8f8a4

868808868 has 96 divisors (see below), whose sum is σ = 2189980800. Its totient is φ = 267110400.

The previous prime is 868808861. The next prime is 868808873.

868808868 is nontrivially palindromic in base 10.

868808868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (868808861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069855 + ... + 3070137.

It is an arithmetic number, because the mean of its divisors is an integer number (22812300).

Almost surely, 2868808868 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 868808868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094990400).

868808868 is an abundant number, since it is smaller than the sum of its proper divisors (1321171932).

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

868808868 is a wasteful number, since it uses less digits than its factorization.

868808868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 60.

The square root of 868808868 is about 29475.5639131807. The cubic root of 868808868 is about 954.2044004714.

The spelling of 868808868 in words is "eight hundred sixty-eight million, eight hundred eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 149 202 204 283 298 303 404 447 566 596 606 849 894 1132 1212 1698 1717 1788 2533 3396 3434 4811 5066 5151 6868 7599 9622 10132 10302 14433 15049 15198 19244 20604 28583 28866 30098 30396 42167 45147 57166 57732 60196 84334 85749 90294 114332 126501 168668 171498 180588 253002 255833 342996 485911 506004 511666 716839 767499 971822 1023332 1433678 1457733 1534998 1943644 2150517 2867356 2915466 3069996 4258867 4301034 5830932 8517734 8602068 12776601 17035468 25553202 51106404 72400739 144801478 217202217 289602956 434404434 868808868