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2089520832 = 26373742019
BaseRepresentation
bin111110010001011…
…1000111011000000
312101121210122201110
41330202320323000
513234404131312
6543201403320
7102531430320
oct17442707300
95347718643
102089520832
11982530a23
124a3939540
13273b8c179
1415b71d280
15c369743c
hex7c8b8ec0

2089520832 has 112 divisors (see below), whose sum is σ = 6489232640. Its totient is φ = 580856832.

The previous prime is 2089520803. The next prime is 2089520857. The reversal of 2089520832 is 2380259802.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28719 + ... + 70737.

Almost surely, 22089520832 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 2089520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244616320).

2089520832 is an abundant number, since it is smaller than the sum of its proper divisors (4399711808).

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

2089520832 is a wasteful number, since it uses less digits than its factorization.

2089520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42078 (or 42068 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2089520832 is about 45711.2768581233. The cubic root of 2089520832 is about 1278.4455479090.

The spelling of 2089520832 in words is "two billion, eighty-nine million, five hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 42019 49728 84038 126057 168076 252114 294133 336152 504228 588266 672304 882399 1008456 1176532 1344608 1554703 1764798 2016912 2353064 2689216 3109406 3529596 4033824 4664109 4706128 6218812 7059192 8067648 9328218 9412256 10882921 12437624 14118384 18656436 18824512 21765842 24875248 28236768 32648763 37312872 43531684 49750496 56473536 65297526 74625744 87063368 99500992 130595052 149251488 174126736 261190104 298502976 348253472 522380208 696506944 1044760416 2089520832