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856018992 = 2434121032
BaseRepresentation
bin110011000001011…
…101000000110000
32012122202021022010
4303001131000300
53223120101432
6220535242520
730133020123
oct6301350060
92178667263
10856018992
113aa222814
121ba819440
13108467b1a
148198c3ba
15502403cc
hex3305d030

856018992 has 90 divisors (see below), whose sum is σ = 2288853876. Its totient is φ = 275677440.

The previous prime is 856018937. The next prime is 856018993. The reversal of 856018992 is 299810658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (856018993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8310813 + ... + 8310915.

Almost surely, 2856018992 is an apocalyptic number.

856018992 is a gapful number since it is divisible by the number (82) 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 856018992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144426938).

856018992 is an abundant number, since it is smaller than the sum of its proper divisors (1432834884).

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

856018992 is a wasteful number, since it uses less digits than its factorization.

856018992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 856018992 is about 29257.8022414535. The cubic root of 856018992 is about 949.4989017516.

Multiplying 856018992 by its sum of digits (48), we get a square (41088911616 = 2027042).

856018992 divided by its sum of digits (48) gives a square (17833729 = 42232).

The spelling of 856018992 in words is "eight hundred fifty-six million, eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 103 123 164 206 246 309 328 412 492 618 656 824 984 1236 1648 1681 1968 2472 3362 4223 4944 5043 6724 8446 10086 10609 12669 13448 16892 20172 21218 25338 26896 31827 33784 40344 42436 50676 63654 67568 80688 84872 101352 127308 169744 173143 202704 254616 346286 434969 509232 519429 692572 869938 1038858 1304907 1385144 1739876 2077716 2609814 2770288 3479752 4155432 5219628 6959504 8310864 10439256 17833729 20878512 35667458 53501187 71334916 107002374 142669832 214004748 285339664 428009496 856018992