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806803092 = 22342699257
BaseRepresentation
bin110000000101101…
…101011010010100
32002020010211210000
4300011231122110
53123020144332
6212020331300
725664466414
oct6005553224
92066124700
10806803092
11384468117
121a6243b30
13cb1c55a4
147921a644
154ac6cb7c
hex3016d694

806803092 has 60 divisors (see below), whose sum is σ = 2117212020. Its totient is φ = 267905664.

The previous prime is 806803091. The next prime is 806803139. The reversal of 806803092 is 290308608.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 755480196 = 7164^2 + 27486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806803091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82528 + ... + 91784.

It is an arithmetic number, because the mean of its divisors is an integer number (35286867).

Almost surely, 2806803092 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 806803092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058606010).

806803092 is an abundant number, since it is smaller than the sum of its proper divisors (1310408928).

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

806803092 is a wasteful number, since it uses less digits than its factorization.

806803092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 806803092 is about 28404.2794663058. The cubic root of 806803092 is about 930.9417723112.

The spelling of 806803092 in words is "eight hundred six million, eight hundred three thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 807 1076 1614 2421 3228 4842 7263 9257 9684 14526 18514 21789 27771 29052 37028 43578 55542 83313 87156 111084 166626 249939 333252 499878 749817 999756 1499634 2490133 2999268 4980266 7470399 9960532 14940798 22411197 29881596 44822394 67233591 89644788 134467182 201700773 268934364 403401546 806803092