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808335424 = 26137313309
BaseRepresentation
bin110000001011100…
…011100001000000
32002100000200202001
4300023203201000
53123413213144
6212113233344
726013511021
oct6013434100
92070020661
10808335424
11385314406
121a6862854
13cb610bb0
14794d8c48
154ae71bd4
hex302e3840

808335424 has 56 divisors (see below), whose sum is σ = 1751223320. Its totient is φ = 367939584.

The previous prime is 808335403. The next prime is 808335467. The reversal of 808335424 is 424533808.

It can be written as a sum of positive squares in 4 ways, for example, as 11289600 + 797045824 = 3360^2 + 28232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54082 + ... + 67390.

It is an arithmetic number, because the mean of its divisors is an integer number (31271845).

Almost surely, 2808335424 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 808335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875611660).

808335424 is an abundant number, since it is smaller than the sum of its proper divisors (942887896).

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

808335424 is a wasteful number, since it uses less digits than its factorization.

808335424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 808335424 is about 28431.2402824780. The cubic root of 808335424 is about 931.5307676213.

The spelling of 808335424 in words is "eight hundred eight million, three hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 949 1168 1898 2336 3796 4672 7592 13309 15184 26618 30368 53236 60736 106472 173017 212944 346034 425888 692068 851776 971557 1384136 1943114 2768272 3886228 5536544 7772456 11073088 12630241 15544912 25260482 31089824 50520964 62179648 101041928 202083856 404167712 808335424