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874868868 = 2232291018297
BaseRepresentation
bin110100001001010…
…111000010000100
32020222012221110200
4310021113002010
53242431300433
6222451250500
730452156046
oct6411270204
92228187420
10874868868
11409927a25
12204ba9a30
1310c3378b3
1484297a96
1551c15613
hex34257084

874868868 has 72 divisors (see below), whose sum is σ = 2310661080. Its totient is φ = 278745600.

The previous prime is 874868849. The next prime is 874868873. The reversal of 874868868 is 868868478.

It can be written as a sum of positive squares in 4 ways, for example, as 655769664 + 219099204 = 25608^2 + 14802^2 .

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 23 ways as a sum of consecutive naturals, for example, 101296 + ... + 109592.

It is an arithmetic number, because the mean of its divisors is an integer number (32092515).

Almost surely, 2874868868 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 874868868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155330540).

874868868 is an abundant number, since it is smaller than the sum of its proper divisors (1435792212).

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

874868868 is a wasteful number, since it uses less digits than its factorization.

874868868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8437 (or 8432 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The square root of 874868868 is about 29578.1822970919. The cubic root of 874868868 is about 956.4178087150.

The spelling of 874868868 in words is "eight hundred seventy-four million, eight hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 261 303 348 404 522 606 909 1044 1212 1818 2929 3636 5858 8297 8787 11716 16594 17574 24891 26361 33188 35148 49782 52722 74673 99564 105444 149346 240613 298692 481226 721839 837997 962452 1443678 1675994 2165517 2513991 2887356 3351988 4331034 5027982 7541973 8662068 10055964 15083946 24301913 30167892 48603826 72905739 97207652 145811478 218717217 291622956 437434434 874868868