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809304948 = 223222480693
BaseRepresentation
bin110000001111010…
…000001101110100
32002101211221200100
4300033100031310
53124140224243
6212150114100
726024656434
oct6017201564
92071757610
10809304948
11385916871
121a704b930
13cb89028a
14796ac2c4
154b0b40d3
hex303d0374

809304948 has 18 divisors (see below), whose sum is σ = 2045743154. Its totient is φ = 269768304.

The previous prime is 809304917. The next prime is 809304961. The reversal of 809304948 is 849403908.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 799645284 + 9659664 = 28278^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11240311 + ... + 11240382.

Almost surely, 2809304948 is an apocalyptic number.

It is an amenable number.

809304948 is an abundant number, since it is smaller than the sum of its proper divisors (1236438206).

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

809304948 is a wasteful number, since it uses less digits than its factorization.

809304948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22480703 (or 22480698 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 809304948 is about 28448.2855019419. The cubic root of 809304948 is about 931.9030473174.

The spelling of 809304948 in words is "eight hundred nine million, three hundred four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 22480693 44961386 67442079 89922772 134884158 202326237 269768316 404652474 809304948