Search a number
-
+
849684168 = 23341311241
BaseRepresentation
bin110010101001010…
…010011011001000
32012012211102120000
4302221102123020
53220004343133
6220151403000
730025124214
oct6251223310
92165742500
10849684168
113a6696323
121b8683460
1310705a5c8
1480bbd944
154e8dd413
hex32a526c8

849684168 has 40 divisors (see below), whose sum is σ = 2379904230. Its totient is φ = 283227840.

The previous prime is 849684163. The next prime is 849684211. The reversal of 849684168 is 861486948.

It can be written as a sum of positive squares in only one way, i.e., 789497604 + 60186564 = 28098^2 + 7758^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (849684163) 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 9 ways as a sum of consecutive naturals, for example, 654973 + ... + 656268.

Almost surely, 2849684168 is an apocalyptic number.

It is an amenable number.

849684168 is an abundant number, since it is smaller than the sum of its proper divisors (1530220062).

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

849684168 is a wasteful number, since it uses less digits than its factorization.

849684168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311259 (or 1311246 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 849684168 is about 29149.3424968729. The cubic root of 849684168 is about 947.1508980940.

The spelling of 849684168 in words is "eight hundred forty-nine million, six hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1311241 2622482 3933723 5244964 7867446 10489928 11801169 15734892 23602338 31469784 35403507 47204676 70807014 94409352 106210521 141614028 212421042 283228056 424842084 849684168