[go: up one dir, main page]

Search a number
-
+
832116204 = 2232172515417
BaseRepresentation
bin110001100110010…
…001010111101100
32010222202212211200
4301212101113230
53201010204304
6214323045500
726422604523
oct6146212754
92128685750
10832116204
11397787247
121b2810890
1310351916a
147c7294ba
154d0bce39
hex319915ec

832116204 has 72 divisors (see below), whose sum is σ = 2236420368. Its totient is φ = 259968000.

The previous prime is 832116193. The next prime is 832116223. The reversal of 832116204 is 402611238.

832116204 is a `hidden beast` number, since 8 + 32 + 1 + 1 + 620 + 4 = 666.

832116204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150904 + ... + 156320.

It is an arithmetic number, because the mean of its divisors is an integer number (31061394).

Almost surely, 2832116204 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 832116204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118210184).

832116204 is an abundant number, since it is smaller than the sum of its proper divisors (1404304164).

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

832116204 is a wasteful number, since it uses less digits than its factorization.

832116204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 832116204 is about 28846.4244578076. The cubic root of 832116204 is about 940.5776606294.

The spelling of 832116204 in words is "eight hundred thirty-two million, one hundred sixteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 251 306 502 612 753 1004 1506 2259 3012 4267 4518 5417 8534 9036 10834 12801 16251 17068 21668 25602 32502 38403 48753 51204 65004 76806 92089 97506 153612 184178 195012 276267 368356 552534 828801 1105068 1359667 1657602 2719334 3315204 4079001 5438668 8158002 12237003 16316004 23114339 24474006 46228678 48948012 69343017 92457356 138686034 208029051 277372068 416058102 832116204