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808409268 = 223359293433
BaseRepresentation
bin110000001011110…
…101100010110100
32002100011110001000
4300023311202310
53123423044033
6212115003300
726014236222
oct6013654264
92070143030
10808409268
11385364937
121a6899530
13cb6386a4
1479517b12
154ae88a13
hex302f58b4

808409268 has 96 divisors (see below), whose sum is σ = 2143612800. Its totient is φ = 263388672.

The previous prime is 808409233. The next prime is 808409269. The reversal of 808409268 is 862904808.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808409269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866780 + ... + 1867212.

It is an arithmetic number, because the mean of its divisors is an integer number (22329300).

Almost surely, 2808409268 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 808409268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071806400).

808409268 is an abundant number, since it is smaller than the sum of its proper divisors (1335203532).

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

808409268 is a wasteful number, since it uses less digits than its factorization.

808409268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 808409268 is about 28432.5388947241. The cubic root of 808409268 is about 931.5591328524.

The spelling of 808409268 in words is "eight hundred eight million, four hundred nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 293 354 433 531 586 708 866 879 1062 1172 1299 1593 1732 1758 2124 2598 2637 3186 3516 3897 5196 5274 6372 7794 7911 10548 11691 15588 15822 17287 23382 25547 31644 34574 46764 51094 51861 69148 76641 102188 103722 126869 153282 155583 207444 229923 253738 306564 311166 380607 459846 466749 507476 622332 689769 761214 919692 933498 1141821 1379538 1522428 1866996 2283642 2759076 3425463 4567284 6850926 7485271 13701852 14970542 22455813 29941084 44911626 67367439 89823252 134734878 202102317 269469756 404204634 808409268