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808769052 = 2232713298513
BaseRepresentation
bin110000001101001…
…101011000011100
32002100211201120100
4300031031120130
53124021102202
6212130421100
726020265160
oct6015153034
92070751510
10808769052
11385590183
121a6a31790
13cb733390
14795acca0
154b00a41c
hex3034d61c

808769052 has 144 divisors (see below), whose sum is σ = 2603240640. Its totient is φ = 205922304.

The previous prime is 808769047. The next prime is 808769053. The reversal of 808769052 is 250967808.

It is a junction number, because it is equal to n+sod(n) for n = 808768989 and 808769007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808769053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90748 + ... + 99260.

It is an arithmetic number, because the mean of its divisors is an integer number (18078060).

Almost surely, 2808769052 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 808769052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301620320).

808769052 is an abundant number, since it is smaller than the sum of its proper divisors (1794471588).

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

808769052 is a wasteful number, since it uses less digits than its factorization.

808769052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 808769052 is about 28438.8651672320. The cubic root of 808769052 is about 931.6973097122.

The spelling of 808769052 in words is "eight hundred eight million, seven hundred sixty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 8513 10556 13572 15834 17026 23751 25539 31668 34052 47502 51078 59591 76617 95004 102156 110669 119182 153234 178773 221338 238364 246877 306468 332007 357546 442676 493754 536319 664014 715092 740631 774683 987508 996021 1072638 1328028 1481262 1549366 1728139 1992042 2145276 2221893 2324049 2962524 3098732 3209401 3456278 3984084 4443786 4648098 5184417 6418802 6912556 6972147 8887572 9296196 9628203 10368834 12837604 13944294 15553251 19256406 20737668 22465807 27888588 28884609 31106502 38512812 44931614 57769218 62213004 67397421 89863228 115538436 134794842 202192263 269589684 404384526 808769052