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2893744896 = 28371731663
BaseRepresentation
bin1010110001111011…
…0000101100000000
321110200002110201220
42230132300230000
521411244314041
61155050555040
7131465266020
oct25436605400
97420073656
102893744896
111255497409
12689138a80
133716908b3
141d6467a80
1511e0a5d66
hexac7b0b00

2893744896 has 144 divisors (see below), whose sum is σ = 9319855104. Its totient is φ = 778125312.

The previous prime is 2893744883. The next prime is 2893744963. The reversal of 2893744896 is 6984473982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75561 + ... + 107223.

It is an arithmetic number, because the mean of its divisors is an integer number (64721216).

Almost surely, 22893744896 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 2893744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659927552).

2893744896 is an abundant number, since it is smaller than the sum of its proper divisors (6426110208).

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

2893744896 is a wasteful number, since it uses less digits than its factorization.

2893744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31706 (or 31692 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 2893744896 is about 53793.5395377549. The cubic root of 2893744896 is about 1425.0171161995.

The spelling of 2893744896 in words is "two billion, eight hundred ninety-three million, seven hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 30464 31663 45696 63326 91392 94989 126652 189978 221641 253304 379956 443282 506608 538271 664923 759912 886564 1013216 1076542 1329846 1519824 1614813 1773128 2026432 2153084 2659692 3039648 3229626 3546256 3767897 4052864 4306168 5319384 6079296 6459252 7092512 7535794 8105728 8612336 10638768 11303691 12158592 12918504 14185024 15071588 17224672 21277536 22607382 24317184 25837008 28370048 30143176 34449344 42555072 45214764 51674016 56740096 60286352 68898688 85110144 90429528 103348032 120572704 137797376 170220288 180859056 206696064 241145408 361718112 413392128 482290816 723436224 964581632 1446872448 2893744896