Search a number
-
+
6189049242 = 233532698039
BaseRepresentation
bin1011100001110010…
…10110010110011010
3120222022210021111000
411300321112112122
5100133344033432
62502044445430
7306241023225
oct56071262632
916868707430
106189049242
112696614332
121248849876
137782ba81c
14429d805bc
1526352c57c
hex170e5659a

6189049242 has 64 divisors (see below), whose sum is σ = 14066784000. Its totient is φ = 2016316224.

The previous prime is 6189049213. The next prime is 6189049247. The reversal of 6189049242 is 2429409816.

6189049242 is a `hidden beast` number, since 618 + 9 + 0 + 4 + 9 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6189049247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765859 + ... + 773897.

It is an arithmetic number, because the mean of its divisors is an integer number (219793500).

Almost surely, 26189049242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6189049242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033392000).

6189049242 is an abundant number, since it is smaller than the sum of its proper divisors (7877734758).

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

6189049242 is a wasteful number, since it uses less digits than its factorization.

6189049242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6189049242 is about 78670.5106250112. The cubic root of 6189049242 is about 1836.0083247519.

The spelling of 6189049242 in words is "six billion, one hundred eighty-nine million, forty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 269 318 477 538 807 954 1431 1614 2421 2862 4842 7263 8039 14257 14526 16078 24117 28514 42771 48234 72351 85542 128313 144702 217053 256626 384939 426067 434106 769878 852134 1278201 2162491 2556402 3834603 4324982 6487473 7669206 11503809 12974946 19462419 23007618 38924838 58387257 114612023 116774514 229224046 343836069 687672138 1031508207 2063016414 3094524621 6189049242