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2808105984 = 21032319829
BaseRepresentation
bin1010011101100000…
…0100110000000000
321020200221120020100
42213120010300000
521222333342414
61142351242400
7126405335625
oct24730046000
97220846210
102808105984
111211114652
12664519400
13359a07998
141c8d3434c
151167db609
hexa7604c00

2808105984 has 132 divisors (see below), whose sum is σ = 8370756160. Its totient is φ = 905748480.

The previous prime is 2808105973. The next prime is 2808105991. The reversal of 2808105984 is 4895018082.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280782 + ... + 290610.

Almost surely, 22808105984 is an apocalyptic number.

2808105984 is a gapful number since it is divisible by the number (24) 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 2808105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185378080).

2808105984 is an abundant number, since it is smaller than the sum of its proper divisors (5562650176).

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

2808105984 is a wasteful number, since it uses less digits than its factorization.

2808105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9886 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2808105984 is about 52991.5652156077. The cubic root of 2808105984 is about 1410.8185619715.

The spelling of 2808105984 in words is "two billion, eight hundred eight million, one hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 9829 11904 15872 17856 19658 23808 29487 31744 35712 39316 47616 58974 71424 78632 88461 95232 117948 142848 157264 176922 235896 285696 304699 314528 353844 471792 609398 629056 707688 914097 943584 1218796 1258112 1415376 1828194 1887168 2437592 2516224 2742291 2830752 3656388 3774336 4875184 5032448 5484582 5661504 7312776 7548672 9750368 10064896 10969164 11323008 14625552 15097344 19500736 21938328 22646016 29251104 30194688 39001472 43876656 45292032 58502208 78002944 87753312 90584064 117004416 156005888 175506624 234008832 312011776 351013248 468017664 702026496 936035328 1404052992 2808105984