Search a number
-
+
4648668460 = 2252310105801
BaseRepresentation
bin1000101010001010…
…10000110100101100
3102222222021211021221
410111011100310230
534010024342320
62045141033124
7223125013162
oct42505206454
912888254257
104648668460
111a76063467
12a989b57a4
1359112a5c7
14321569232
151c31a83aa
hex115150d2c

4648668460 has 24 divisors (see below), whose sum is σ = 10186648416. Its totient is φ = 1778620800.

The previous prime is 4648668443. The next prime is 4648668461. The reversal of 4648668460 is 648668464.

It is a happy number.

It is a super-2 number, since 2×46486684602 = 43220236901997543200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4648668398 and 4648668407.

It is not an unprimeable number, because it can be changed into a prime (4648668461) 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 7 ways as a sum of consecutive naturals, for example, 5052441 + ... + 5053360.

It is an arithmetic number, because the mean of its divisors is an integer number (424443684).

Almost surely, 24648668460 is an apocalyptic number.

It is an amenable number.

4648668460 is an abundant number, since it is smaller than the sum of its proper divisors (5537979956).

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

4648668460 is a wasteful number, since it uses less digits than its factorization.

4648668460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105833 (or 10105831 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The square root of 4648668460 is about 68181.1444609138. The cubic root of 4648668460 is about 1668.9482016448.

The spelling of 4648668460 in words is "four billion, six hundred forty-eight million, six hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 10105801 20211602 40423204 50529005 101058010 202116020 232433423 464866846 929733692 1162167115 2324334230 4648668460