Search a number
-
+
8263116 = 2232892579
BaseRepresentation
bin11111100001010111001100
3120112210212100
4133201113030
54103404431
6453035100
7130143501
oct37412714
916483770
108263116
114734224
122925a90
131934124
1411514a8
15ad34e6
hex7e15cc

8263116 has 36 divisors (see below), whose sum is σ = 21130200. Its totient is φ = 2722368.

The previous prime is 8263097. The next prime is 8263147. The reversal of 8263116 is 6113628.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8263116.

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, 1915 + ... + 4493.

It is an arithmetic number, because the mean of its divisors is an integer number (586950).

Almost surely, 28263116 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 8263116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565100).

8263116 is an abundant number, since it is smaller than the sum of its proper divisors (12867084).

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

8263116 is a wasteful number, since it uses less digits than its factorization.

8263116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2673 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8263116 is about 2874.5636190559. The cubic root of 8263116 is about 202.1690249493.

The spelling of 8263116 in words is "eight million, two hundred sixty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 2579 3204 5158 7737 10316 15474 23211 30948 46422 92844 229531 459062 688593 918124 1377186 2065779 2754372 4131558 8263116