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806852992 = 27117572
BaseRepresentation
bin110000000101111…
…001100110000000
32002020020101020011
4300011321212000
53123023243432
6212021354304
725665065041
oct6005714600
92066211204
10806852992
113844a1660
121a6268994
13cb21220a
14792308c8
154ac7c847
hex30179980

806852992 has 48 divisors (see below), whose sum is σ = 1755849420. Its totient is φ = 366266880.

The previous prime is 806852941. The next prime is 806852999. The reversal of 806852992 is 299258608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806852999) 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 5 ways as a sum of consecutive naturals, for example, 1065478 + ... + 1066234.

Almost surely, 2806852992 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 806852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877924710).

806852992 is an abundant number, since it is smaller than the sum of its proper divisors (948996428).

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

806852992 is an frugal number, since it uses more digits than its factorization.

806852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 806852992 is about 28405.1578414907. The cubic root of 806852992 is about 930.9609645351.

The spelling of 806852992 in words is "eight hundred six million, eight hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 757 1408 1514 3028 6056 8327 12112 16654 24224 33308 48448 66616 96896 133232 266464 532928 573049 1065856 1146098 2292196 4584392 6303539 9168784 12607078 18337568 25214156 36675136 50428312 73350272 100856624 201713248 403426496 806852992