Search a number
-
+
4642832916 = 2232313412037
BaseRepresentation
bin1000101001011110…
…00000001000010100
3102222120022100102200
410110233000020110
534002031123131
62044412004500
7223024300011
oct42457001024
912876270380
104642832916
111a728380a7
12a96a60730
1358cb66417
1432088a708
151c29042e6
hex114bc0214

4642832916 has 36 divisors (see below), whose sum is σ = 11773573812. Its totient is φ = 1542662784.

The previous prime is 4642832903. The next prime is 4642832917. The reversal of 4642832916 is 6192382464.

It can be written as a sum of positive squares in 2 ways, for example, as 2261002500 + 2381830416 = 47550^2 + 48804^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642832917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194751 + ... + 217286.

It is an arithmetic number, because the mean of its divisors is an integer number (327043717).

Almost surely, 24642832916 is an apocalyptic number.

It is an amenable number.

4642832916 is an abundant number, since it is smaller than the sum of its proper divisors (7130740896).

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

4642832916 is a wasteful number, since it uses less digits than its factorization.

4642832916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412360 (or 412355 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4642832916 is about 68138.3366101639. The cubic root of 4642832916 is about 1668.2495572297.

The spelling of 4642832916 in words is "four billion, six hundred forty-two million, eight hundred thirty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 412037 824074 1236111 1648148 2472222 3708333 4944444 7416666 14833332 128967581 257935162 386902743 515870324 773805486 1160708229 1547610972 2321416458 4642832916