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2838568992 = 253719211701
BaseRepresentation
bin1010100100110001…
…0010000000100000
321022211021020121220
42221030102000200
521303133201432
61145400215040
7130225303230
oct25114220040
97284236556
102838568992
111227330996
1267276a480
1336311262c
141ccdc3cc0
1511930772c
hexa9312020

2838568992 has 144 divisors (see below), whose sum is σ = 8988259392. Its totient is φ = 768268800.

The previous prime is 2838568991. The next prime is 2838569003. The reversal of 2838568992 is 2998658382.

It is not an unprimeable number, because it can be changed into a prime (2838568991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236742 + ... + 248442.

It is an arithmetic number, because the mean of its divisors is an integer number (62418468).

Almost surely, 22838568992 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 2838568992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494129696).

2838568992 is an abundant number, since it is smaller than the sum of its proper divisors (6149690400).

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

2838568992 is a wasteful number, since it uses less digits than its factorization.

2838568992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759 (or 11732 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 60.

The square root of 2838568992 is about 53278.2224928723. Note that the first 3 decimals coincide. The cubic root of 2838568992 is about 1415.9018572855.

The spelling of 2838568992 in words is "two billion, eight hundred thirty-eight million, five hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 361 399 456 532 608 672 722 798 912 1064 1083 1444 1596 1824 2128 2166 2527 2888 3192 4256 4332 5054 5776 6384 7581 8664 10108 11552 11701 12768 15162 17328 20216 23402 30324 34656 35103 40432 46804 60648 70206 80864 81907 93608 121296 140412 163814 187216 222319 242592 245721 280824 327628 374432 444638 491442 561648 655256 666957 889276 982884 1123296 1310512 1333914 1556233 1778552 1965768 2621024 2667828 3112466 3557104 3931536 4224061 4668699 5335656 6224932 7114208 7863072 8448122 9337398 10671312 12449864 12672183 16896244 18674796 21342624 24899728 25344366 29568427 33792488 37349592 49799456 50688732 59136854 67584976 74699184 88705281 101377464 118273708 135169952 149398368 177410562 202754928 236547416 354821124 405509856 473094832 709642248 946189664 1419284496 2838568992