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2842293888 = 2734739163
BaseRepresentation
bin1010100101101001…
…1111011010000000
321100002021111020000
42221122133122000
521310111401023
61150012120000
7130302046050
oct25132373200
97302244200
102842293888
111229445515
12673a66000
13363b17c05
141cd6b3560
151197e1243
hexa969f680

2842293888 has 160 divisors (see below), whose sum is σ = 9667241760. Its totient is φ = 812063232.

The previous prime is 2842293833. The next prime is 2842293917. The reversal of 2842293888 is 8883922482.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52995 + ... + 92157.

It is an arithmetic number, because the mean of its divisors is an integer number (60420261).

Almost surely, 22842293888 is an apocalyptic number.

2842293888 is a gapful number since it is divisible by the number (28) 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 2842293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833620880).

2842293888 is an abundant number, since it is smaller than the sum of its proper divisors (6824947872).

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

2842293888 is an equidigital number, since it uses as much as digits as its factorization.

2842293888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39196 (or 39175 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2842293888 is about 53313.1680544310. The cubic root of 2842293888 is about 1416.5209229598.

The spelling of 2842293888 in words is "two billion, eight hundred forty-two million, two hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 39163 72576 78326 117489 156652 234978 274141 313304 352467 469956 548282 626608 704934 822423 939912 1057401 1096564 1253216 1409868 1644846 1879824 2114802 2193128 2467269 2506432 2819736 3172203 3289692 3759648 4229604 4386256 4934538 5012864 5639472 6344406 6579384 7401807 7519296 8459208 8772512 9869076 11278944 12688812 13158768 14803614 15038592 16918416 17545024 19738152 22205421 22557888 25377624 26317536 29607228 33836832 35090048 39476304 44410842 45115776 50755248 52635072 59214456 67673664 78952608 88821684 101510496 105270144 118428912 135347328 157905216 177643368 203020992 236857824 315810432 355286736 406041984 473715648 710573472 947431296 1421146944 2842293888