Search a number
-
+
869811904 = 26132137587
BaseRepresentation
bin110011110110000…
…100011011000000
32020121201000121201
4303312010123000
53240132440104
6222151030544
730361164523
oct6366043300
92217630551
10869811904
11406a93615
1220336b454
1310b286c00
148373cbba
15515670a4
hex33d846c0

869811904 has 84 divisors (see below), whose sum is σ = 1885867704. Its totient is φ = 397842432.

The previous prime is 869811809. The next prime is 869811911. The reversal of 869811904 is 409118968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1481499 + ... + 1482085.

It is an arithmetic number, because the mean of its divisors is an integer number (22450806).

Almost surely, 2869811904 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 869811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942933852).

869811904 is an abundant number, since it is smaller than the sum of its proper divisors (1016055800).

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

869811904 is a wasteful number, since it uses less digits than its factorization.

869811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 869811904 is about 29492.5737093255. The cubic root of 869811904 is about 954.5714675036.

It can be divided in two parts, 8698 and 11904, that added together give a palindrome (20602).

The spelling of 869811904 in words is "eight hundred sixty-nine million, eight hundred eleven thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 137 169 208 274 338 416 548 587 676 832 1096 1174 1352 1781 2192 2348 2704 3562 4384 4696 5408 7124 7631 8768 9392 10816 14248 15262 18784 23153 28496 30524 37568 46306 56992 61048 80419 92612 99203 113984 122096 160838 185224 198406 244192 321676 370448 396812 488384 643352 740896 793624 1045447 1286704 1481792 1587248 2090894 2573408 3174496 4181788 5146816 6348992 8363576 13590811 16727152 27181622 33454304 54363244 66908608 108726488 217452976 434905952 869811904