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856053016 = 237133761521
BaseRepresentation
bin110011000001100…
…101010100011000
32012122210222222021
4303001211110120
53223122144031
6220540104224
730133221250
oct6301452430
92178728867
10856053016
113aa246335
121ba835074
1310847a460
148199a960
155024a511
hex33065518

856053016 has 128 divisors (see below), whose sum is σ = 2066117760. Its totient is φ = 323481600.

The previous prime is 856053013. The next prime is 856053047. The reversal of 856053016 is 610350658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856053013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1642836 + ... + 1643356.

It is an arithmetic number, because the mean of its divisors is an integer number (16141545).

Almost surely, 2856053016 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 856053016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033058880).

856053016 is an abundant number, since it is smaller than the sum of its proper divisors (1210064744).

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

856053016 is a wasteful number, since it uses less digits than its factorization.

856053016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 856053016 is about 29258.3836874151. The cubic root of 856053016 is about 949.5114814268.

The spelling of 856053016 in words is "eight hundred fifty-six million, fifty-three thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 61 74 91 104 122 148 182 244 259 296 364 427 481 488 518 521 728 793 854 962 1036 1042 1586 1708 1924 2072 2084 2257 3172 3367 3416 3647 3848 4168 4514 5551 6344 6734 6773 7294 9028 11102 13468 13546 14588 15799 18056 19277 22204 26936 27092 29176 29341 31598 31781 38554 44408 47411 54184 58682 63196 63562 77108 94822 117364 126392 127124 134939 154216 189644 205387 222467 234728 250601 254248 269878 379288 410774 413153 444934 501202 539756 821548 826306 889868 1002404 1079512 1175897 1643096 1652612 1754207 1779736 2004808 2351794 2892071 3305224 3508414 4703588 5784142 7016828 8231279 9407176 11568284 14033656 15286661 16462558 23136568 30573322 32925116 61146644 65850232 107006627 122293288 214013254 428026508 856053016