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808749414 = 233112359197
BaseRepresentation
bin110000001101001…
…000100101100110
32002100210201122000
4300031020211212
53124014440124
6212130150130
726020154004
oct6015104546
92070721560
10808749414
11385577450
121a6a22346
13cb727465
14795a5a74
154b0046c9
hex30348966

808749414 has 64 divisors (see below), whose sum is σ = 2045882880. Its totient is φ = 234416160.

The previous prime is 808749397. The next prime is 808749433. The reversal of 808749414 is 414947808.

808749414 is a `hidden beast` number, since 80 + 87 + 494 + 1 + 4 = 666.

It is a super-3 number, since 3×8087494143 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 808749414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15937 + ... + 43260.

It is an arithmetic number, because the mean of its divisors is an integer number (31966920).

Almost surely, 2808749414 is an apocalyptic number.

808749414 is an abundant number, since it is smaller than the sum of its proper divisors (1237133466).

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

808749414 is a wasteful number, since it uses less digits than its factorization.

808749414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59242 (or 59236 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 808749414 is about 28438.5198981944. The cubic root of 808749414 is about 931.6897686967.

The spelling of 808749414 in words is "eight hundred eight million, seven hundred forty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 59197 118394 177591 355182 532773 651167 1065546 1302334 1361531 1598319 1953501 2723062 3196638 3907002 4084593 5860503 8169186 11721006 12253779 14976841 17581509 24507558 29953682 35163018 36761337 44930523 73522674 89861046 134791569 269583138 404374707 808749414