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868262868 = 2233113719753
BaseRepresentation
bin110011110000001…
…010001111010100
32020111210022202000
4303300022033110
53234233402433
6222053515300
730342053424
oct6360121724
92214708660
10868262868
11406125820
12202942b30
1310ab63b15
1483458484
155135d113
hex33c0a3d4

868262868 has 96 divisors (see below), whose sum is σ = 2522190720. Its totient is φ = 255985920.

The previous prime is 868262839. The next prime is 868262869.

868262868 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 628 + 6 + 8 = 666.

868262868 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868262869) 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, 34080 + ... + 53832.

It is an arithmetic number, because the mean of its divisors is an integer number (26272820).

Almost surely, 2868262868 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 868262868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261095360).

868262868 is an abundant number, since it is smaller than the sum of its proper divisors (1653927852).

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

868262868 is a wasteful number, since it uses less digits than its factorization.

868262868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19814 (or 19806 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 868262868 is about 29466.3005482534. The cubic root of 868262868 is about 954.0044697390.

The spelling of 868262868 in words is "eight hundred sixty-eight million, two hundred sixty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3663 3996 4884 7326 10989 14652 19753 21978 39506 43956 59259 79012 118518 177777 217283 237036 355554 434566 533331 651849 711108 730861 869132 1066662 1303698 1461722 1955547 2133324 2192583 2607396 2923444 3911094 4385166 5866641 6577749 7822188 8039471 8770332 11733282 13155498 16078942 19733247 23466564 24118413 26310996 32157884 39466494 48236826 72355239 78932988 96473652 144710478 217065717 289420956 434131434 868262868