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80824512 = 2636167103
BaseRepresentation
bin1001101000101…
…00100011000000
312122002022101110
410310110203000
5131142341022
612004203320
72000665656
oct464244300
9178068343
1080824512
114169471a
1223099540
131398b772
14aa3cdd6
15716800c
hex4d148c0

80824512 has 112 divisors (see below), whose sum is σ = 222739712. Its totient is φ = 25850880.

The previous prime is 80824501. The next prime is 80824519. The reversal of 80824512 is 21542808.

It is a self number, because there is not a number n which added to its sum of digits gives 80824512.

It is not an unprimeable number, because it can be changed into a prime (80824519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784653 + ... + 784755.

Almost surely, 280824512 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 80824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111369856).

80824512 is an abundant number, since it is smaller than the sum of its proper divisors (141915200).

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

80824512 is a wasteful number, since it uses less digits than its factorization.

80824512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 80824512 is about 8990.2453804109. The cubic root of 80824512 is about 432.3621791255.

The spelling of 80824512 in words is "eighty million, eight hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 67 96 103 122 134 183 192 201 206 244 268 309 366 402 412 488 536 618 732 804 824 976 1072 1236 1464 1608 1648 1952 2144 2472 2928 3216 3296 3904 4087 4288 4944 5856 6283 6432 6592 6901 8174 9888 11712 12261 12566 12864 13802 16348 18849 19776 20703 24522 25132 27604 32696 37698 41406 49044 50264 55208 65392 75396 82812 98088 100528 110416 130784 150792 165624 196176 201056 220832 261568 301584 331248 392352 402112 420961 441664 603168 662496 784704 841922 1206336 1262883 1324992 1683844 2525766 3367688 5051532 6735376 10103064 13470752 20206128 26941504 40412256 80824512