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8874030984 = 23371331131071
BaseRepresentation
bin10000100001110111…
…01111011110001000
3211220110001111000020
420100323233132020
5121133222442414
64024321140440
7432623006310
oct102073573610
924813044006
108874030984
113844182905
121877a8a720
13ab5646510
146027c4440
1536e0e77a9
hex210eef788

8874030984 has 128 divisors (see below), whose sum is σ = 28185722880. Its totient is φ = 2264889600.

The previous prime is 8874030973. The next prime is 8874030989. The reversal of 8874030984 is 4890304788.

8874030984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8874030989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169 + ... + 133239.

It is an arithmetic number, because the mean of its divisors is an integer number (220200960).

Almost surely, 28874030984 is an apocalyptic number.

8874030984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8874030984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092861440).

8874030984 is an abundant number, since it is smaller than the sum of its proper divisors (19311691896).

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

8874030984 is a wasteful number, since it uses less digits than its factorization.

8874030984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131127 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 8874030984 is about 94202.0752637648. The cubic root of 8874030984 is about 2070.3335195059. Note that the first 3 decimals are identical.

The spelling of 8874030984 in words is "eight billion, eight hundred seventy-four million, thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 16926 22568 33852 67704 131071 262142 393213 524284 786426 917497 1048568 1572852 1703923 1834994 2752491 3145704 3407846 3669988 4063201 5111769 5504982 6815692 7339976 8126402 10223538 11009964 11927461 12189603 13631384 16252804 20447076 22019928 23854922 24379206 28442407 32505608 35782383 40894152 47709844 48758412 52821613 56884814 71564766 85327221 95419688 97516824 105643226 113769628 143129532 158464839 170654442 211286452 227539256 286259064 316929678 341308884 369751291 422572904 633859356 682617768 739502582 1109253873 1267718712 1479005164 2218507746 2958010328 4437015492 8874030984