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808394256 = 243429137157
BaseRepresentation
bin110000001011110…
…001111000010000
32002100010200110000
4300023301320100
53123422104011
6212114410000
726014144365
oct6013617020
92070120400
10808394256
1138535462a
121a6890900
13cb6318c7
147951246c
154ae84356
hex302f1e10

808394256 has 200 divisors, whose sum is σ = 2453604120. Its totient is φ = 256628736.

The previous prime is 808394233. The next prime is 808394261. The reversal of 808394256 is 652493808.

808394256 is a `hidden beast` number, since 8 + 0 + 8 + 394 + 256 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91011600 + 717382656 = 9540^2 + 26784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5148930 + ... + 5149086.

Almost surely, 2808394256 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 808394256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226802060).

808394256 is an abundant number, since it is smaller than the sum of its proper divisors (1645209864).

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

808394256 is a wasteful number, since it uses less digits than its factorization.

808394256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 808394256 is about 28432.2749001905. The cubic root of 808394256 is about 931.5533665272.

The spelling of 808394256 in words is "eight hundred eight million, three hundred ninety-four thousand, two hundred fifty-six".