Search a number
-
+
6056289952 = 253113744563
BaseRepresentation
bin1011010001111101…
…11010011010100000
3120122001222101222021
411220332322122200
544400402234302
62440543151224
7303036421006
oct55076723240
916561871867
106056289952
112628688309
1212102a5514
1375694712b
144164a2a76
15256a56437
hex168fba6a0

6056289952 has 48 divisors (see below), whose sum is σ = 12398061312. Its totient is φ = 2909007360.

The previous prime is 6056289947. The next prime is 6056289971. The reversal of 6056289952 is 2599826506.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6056289952.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 113623 + ... + 158185.

It is an arithmetic number, because the mean of its divisors is an integer number (258292944).

Almost surely, 26056289952 is an apocalyptic number.

6056289952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199030656).

6056289952 is an abundant number, since it is smaller than the sum of its proper divisors (6341771360).

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

6056289952 is a wasteful number, since it uses less digits than its factorization.

6056289952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44741 (or 44733 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The square root of 6056289952 is about 77822.1687695736. The cubic root of 6056289952 is about 1822.7854493954.

The spelling of 6056289952 in words is "six billion, fifty-six million, two hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 137 248 274 496 548 992 1096 2192 4247 4384 8494 16988 33976 44563 67952 89126 135904 178252 356504 713008 1381453 1426016 2762906 5525812 6105131 11051624 12210262 22103248 24420524 44206496 48841048 97682096 189259061 195364192 378518122 757036244 1514072488 3028144976 6056289952