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808229664 = 2535112859
BaseRepresentation
bin110000001011001…
…001101100100000
32002022211022200000
4300023021230200
53123401322124
6212111100000
726012560464
oct6013115440
92068738600
10808229664
11385251a00
121a6811600
13cb5a4a08
14794ac4a4
154ae506c9
hex302c9b20

808229664 has 216 divisors, whose sum is σ = 2622962160. Its totient is φ = 244632960.

The previous prime is 808229663. The next prime is 808229689. The reversal of 808229664 is 466922808.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (808229663) 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 35 ways as a sum of consecutive naturals, for example, 940467 + ... + 941325.

Almost surely, 2808229664 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 808229664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311481080).

808229664 is an abundant number, since it is smaller than the sum of its proper divisors (1814732496).

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

808229664 is a wasteful number, since it uses less digits than its factorization.

808229664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 808229664 is about 28429.3802957433. The cubic root of 808229664 is about 931.4901396889.

The spelling of 808229664 in words is "eight hundred eight million, two hundred twenty-nine thousand, six hundred sixty-four".