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80812512 = 2533112773
BaseRepresentation
bin1001101000100…
…01100111100000
312122001200221000
410310101213200
5131142000022
612004032000
72000615664
oct464214740
9178050830
1080812512
1141686700
1223092600
1313986171
14aa388a4
1571646ac
hex4d119e0

80812512 has 144 divisors (see below), whose sum is σ = 259413840. Its totient is φ = 24456960.

The previous prime is 80812489. The next prime is 80812553. The reversal of 80812512 is 21521808.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104158 + ... + 104930.

It is an arithmetic number, because the mean of its divisors is an integer number (1801485).

Almost surely, 280812512 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 80812512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129706920).

80812512 is an abundant number, since it is smaller than the sum of its proper divisors (178601328).

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

80812512 is a wasteful number, since it uses less digits than its factorization.

80812512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 80812512 is about 8989.5779656222. The cubic root of 80812512 is about 432.3407804895.

The spelling of 80812512 in words is "eighty million, eight hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 773 792 864 968 1056 1089 1188 1452 1546 1584 1936 2178 2319 2376 2904 3092 3168 3267 3872 4356 4638 4752 5808 6184 6534 6957 8503 8712 9276 9504 11616 12368 13068 13914 17006 17424 18552 20871 24736 25509 26136 27828 34012 34848 37104 41742 51018 52272 55656 68024 74208 76527 83484 93533 102036 104544 111312 136048 153054 166968 187066 204072 222624 229581 272096 280599 306108 333936 374132 408144 459162 561198 612216 667872 748264 816288 841797 918324 1122396 1224432 1496528 1683594 1836648 2244792 2448864 2525391 2993056 3367188 3673296 4489584 5050782 6734376 7346592 8979168 10101564 13468752 20203128 26937504 40406256 80812512