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2831473920 = 28351167033
BaseRepresentation
bin1010100011000100…
…1101110100000000
321022022220210000110
42220301031310000
521244324131140
61144544151320
7130111063002
oct25061156400
97268823013
102831473920
1112233252a0
12670308540
133617ca072
141cc098372
151188a5380
hexa8c4dd00

2831473920 has 144 divisors (see below), whose sum is σ = 9865259712. Its totient is φ = 686407680.

The previous prime is 2831473919. The next prime is 2831473937. The reversal of 2831473920 is 293741382.

It is a congruent number.

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, 8724 + ... + 75756.

It is an arithmetic number, because the mean of its divisors is an integer number (68508748).

Almost surely, 22831473920 is an apocalyptic number.

2831473920 is a gapful number since it is divisible by the number (20) 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 2831473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932629856).

2831473920 is an abundant number, since it is smaller than the sum of its proper divisors (7033785792).

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

2831473920 is a wasteful number, since it uses less digits than its factorization.

2831473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67068 (or 67054 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2831473920 is about 53211.5957287507. The cubic root of 2831473920 is about 1414.7211793565.

The spelling of 2831473920 in words is "two billion, eight hundred thirty-one million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 67033 134066 201099 268132 335165 402198 536264 670330 737363 804396 1005495 1072528 1340660 1474726 1608792 2010990 2145056 2212089 2681320 2949452 3217584 3686815 4021980 4290112 4424178 5362640 5898904 6435168 7373630 8043960 8580224 8848356 10725280 11060445 11797808 12870336 14747260 16087920 17160448 17696712 21450560 22120890 23595616 25740672 29494520 32175840 35393424 42901120 44241780 47191232 51481344 58989040 64351680 70786848 85802240 88483560 94382464 117978080 128703360 141573696 176967120 188764928 235956160 257406720 283147392 353934240 471912320 566294784 707868480 943824640 1415736960 2831473920