Search a number
-
+
879030864 = 243253149773
BaseRepresentation
bin110100011001001…
…111001001010000
32021021001101122200
4310121033021100
53300012441424
6223120403200
730532432125
oct6431171120
92237041580
10879030864
1141120a998
12206476500
1311016410a
1484a5c74c
15522888c9
hex3464f250

879030864 has 120 divisors (see below), whose sum is σ = 2526568200. Its totient is φ = 285182976.

The previous prime is 879030851. The next prime is 879030869. The reversal of 879030864 is 468030978.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 878529600 = 708^2 + 29640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879030869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1136782 + ... + 1137554.

It is an arithmetic number, because the mean of its divisors is an integer number (21054735).

Almost surely, 2879030864 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 879030864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263284100).

879030864 is an abundant number, since it is smaller than the sum of its proper divisors (1647537336).

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

879030864 is a wasteful number, since it uses less digits than its factorization.

879030864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 879030864 is about 29648.4546646195. The cubic root of 879030864 is about 957.9320590529.

The spelling of 879030864 in words is "eight hundred seventy-nine million, thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 149 159 212 298 318 424 447 477 596 636 773 848 894 954 1192 1272 1341 1546 1788 1908 2319 2384 2544 2682 3092 3576 3816 4638 5364 6184 6957 7152 7632 7897 9276 10728 12368 13914 15794 18552 21456 23691 27828 31588 37104 40969 47382 55656 63176 71073 81938 94764 111312 115177 122907 126352 142146 163876 189528 230354 245814 284292 327752 345531 368721 379056 460708 491628 568584 655504 691062 737442 921416 983256 1036593 1137168 1382124 1474884 1842832 1966512 2073186 2764248 2949768 4146372 5528496 5899536 6104381 8292744 12208762 16585488 18313143 24417524 36626286 48835048 54939429 73252572 97670096 109878858 146505144 219757716 293010288 439515432 879030864