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800988012 = 2232115934283
BaseRepresentation
bin101111101111100…
…001101101101100
32001211012101222200
4233233201231230
53120023104022
6211251541500
725564200006
oct5757415554
92054171880
10800988012
11381156170
121a42ba890
13c9c3a806
1478545376
154a4bebac
hex2fbe1b6c

800988012 has 72 divisors (see below), whose sum is σ = 2246287680. Its totient is φ = 238602720.

The previous prime is 800987989. The next prime is 800988017. The reversal of 800988012 is 210889008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (800988017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6223 + ... + 40505.

It is an arithmetic number, because the mean of its divisors is an integer number (31198440).

Almost surely, 2800988012 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 800988012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123143840).

800988012 is an abundant number, since it is smaller than the sum of its proper divisors (1445299668).

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

800988012 is a wasteful number, since it uses less digits than its factorization.

800988012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34363 (or 34358 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 800988012 is about 28301.7316078010. The cubic root of 800988012 is about 928.6997716273.

The spelling of 800988012 in words is "eight hundred million, nine hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3894 5841 7788 11682 23364 34283 68566 102849 137132 205698 308547 377113 411396 617094 754226 1131339 1234188 1508452 2022697 2262678 3394017 4045394 4525356 6068091 6788034 8090788 12136182 13576068 18204273 22249667 24272364 36408546 44499334 66749001 72817092 88998668 133498002 200247003 266996004 400494006 800988012