Search a number
-
+
856403568 = 243219893517
BaseRepresentation
bin110011000010111…
…010111001110000
32012200110210211200
4303002322321300
53223214403233
6220551411200
730136211256
oct6302727160
92180423750
10856403568
113aa465749
121ba983b00
13108570b97
1481a4c5d6
15502b9313
hex330bae70

856403568 has 120 divisors (see below), whose sum is σ = 2551957200. Its totient is φ = 267328512.

The previous prime is 856403539. The next prime is 856403573. The reversal of 856403568 is 865304658.

856403568 is a `hidden beast` number, since 85 + 6 + 4 + 0 + 3 + 568 = 666.

856403568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241746 + ... + 245262.

It is an arithmetic number, because the mean of its divisors is an integer number (21266310).

Almost surely, 2856403568 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 856403568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275978600).

856403568 is an abundant number, since it is smaller than the sum of its proper divisors (1695553632).

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

856403568 is a wasteful number, since it uses less digits than its factorization.

856403568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 856403568 is about 29264.3736990902. The cubic root of 856403568 is about 949.6410714244.

The spelling of 856403568 in words is "eight hundred fifty-six million, four hundred three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 89 114 144 152 171 178 228 267 304 342 356 456 534 684 712 801 912 1068 1368 1424 1602 1691 2136 2736 3204 3382 3517 4272 5073 6408 6764 7034 10146 10551 12816 13528 14068 15219 20292 21102 27056 28136 30438 31653 40584 42204 56272 60876 63306 66823 81168 84408 121752 126612 133646 168816 200469 243504 253224 267292 313013 400938 506448 534584 601407 626026 801876 939039 1069168 1202814 1252052 1603752 1878078 2405628 2504104 2817117 3207504 3756156 4811256 5008208 5634234 5947247 7512312 9622512 11268468 11894494 15024624 17841741 22536936 23788988 35683482 45073872 47577976 53525223 71366964 95155952 107050446 142733928 214100892 285467856 428201784 856403568