Search a number
-
+
652300016 = 242931101449
BaseRepresentation
bin100110111000010…
…100111011110000
31200110102021101212
4212320110323300
52313442100031
6144421015252
722110313214
oct4670247360
91613367355
10652300016
1130522a725
12162554528
13a51aab54
14628bc944
153c3ee12b
hex26e14ef0

652300016 has 80 divisors (see below), whose sum is σ = 1365984000. Its totient is φ = 301056000.

The previous prime is 652300009. The next prime is 652300021. The reversal of 652300016 is 610003256.

652300016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 652299964 and 652300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452560 + ... + 1453008.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2652300016 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 652300016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682992000).

652300016 is an abundant number, since it is smaller than the sum of its proper divisors (713683984).

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

652300016 is a wasteful number, since it uses less digits than its factorization.

652300016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 652300016 is about 25540.1647606275. The cubic root of 652300016 is about 867.2596276112.

The spelling of 652300016 in words is "six hundred fifty-two million, three hundred thousand, sixteen".

Divisors: 1 2 4 8 16 29 31 58 62 101 116 124 202 232 248 404 449 464 496 808 898 899 1616 1796 1798 2929 3131 3592 3596 5858 6262 7184 7192 11716 12524 13021 13919 14384 23432 25048 26042 27838 45349 46864 50096 52084 55676 90698 90799 104168 111352 181396 181598 208336 222704 362792 363196 403651 725584 726392 807302 1315121 1405819 1452784 1614604 2630242 2811638 3229208 5260484 5623276 6458416 10520968 11246552 21041936 22493104 40768751 81537502 163075004 326150008 652300016