Search a number
-
+
4964242050 = 23252109310093
BaseRepresentation
bin1001001111110010…
…00101001010000010
3110210222002121212200
410213321011022002
540131321221200
62140332534030
7234006234615
oct44771051202
913728077780
104964242050
112118204589
12b66621316
1361161bb41
1435143417c
151e0c41800
hex127e45282

4964242050 has 72 divisors (see below), whose sum is σ = 13350788724. Its totient is φ = 1322455680.

The previous prime is 4964242039. The next prime is 4964242051. The reversal of 4964242050 is 502424694.

4964242050 is a `hidden beast` number, since 4 + 9 + 642 + 4 + 2 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3426112089 + 1538129961 = 58533^2 + 39219^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4964241996 and 4964242014.

It is not an unprimeable number, because it can be changed into a prime (4964242051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486804 + ... + 496896.

Almost surely, 24964242050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964242050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675394362).

4964242050 is an abundant number, since it is smaller than the sum of its proper divisors (8386546674).

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

4964242050 is a wasteful number, since it uses less digits than its factorization.

4964242050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4964242050 is about 70457.3775413193. The cubic root of 4964242050 is about 1705.8898414642.

The spelling of 4964242050 in words is "four billion, nine hundred sixty-four million, two hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1093 2186 3279 5465 6558 9837 10093 10930 16395 19674 20186 27325 30279 32790 49185 50465 54650 60558 81975 90837 98370 100930 151395 163950 181674 245925 252325 302790 454185 491850 504650 756975 908370 1513950 2270925 4541850 11031649 22063298 33094947 55158245 66189894 99284841 110316490 165474735 198569682 275791225 330949470 496424205 551582450 827373675 992848410 1654747350 2482121025 4964242050