Search a number
-
+
616516056 = 233313216889
BaseRepresentation
bin100100101111110…
…100100111011000
31120222002021001000
4210233310213120
52230312003211
6141102025000
721164204622
oct4457644730
91528067030
10616516056
11297009702
12152578160
139a95c300
145bc45c12
15391d1656
hex24bf49d8

616516056 has 96 divisors (see below), whose sum is σ = 1854522000. Its totient is φ = 189686016.

The previous prime is 616516051. The next prime is 616516151. The reversal of 616516056 is 650615616.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 616516056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616516051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28060 + ... + 44948.

Almost surely, 2616516056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616516056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927261000).

616516056 is an abundant number, since it is smaller than the sum of its proper divisors (1238005944).

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

616516056 is a wasteful number, since it uses less digits than its factorization.

616516056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16930 (or 16907 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 616516056 is about 24829.7413599095. The cubic root of 616516056 is about 851.1017114436.

The spelling of 616516056 in words is "six hundred sixteen million, five hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 16889 18252 33778 36504 50667 67556 101334 135112 152001 202668 219557 304002 405336 439114 456003 608004 658671 878228 912006 1216008 1317342 1756456 1824012 1976013 2634684 2854241 3648024 3952026 5269368 5708482 5928039 7904052 8562723 11416964 11856078 15808104 17125446 22833928 23712156 25688169 34250892 47424312 51376338 68501784 77064507 102752676 154129014 205505352 308258028 616516056