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2889445460 = 22511171934003
BaseRepresentation
bin1010110000111001…
…0111000001010100
321110101000001000112
42230032113001110
521404144223320
61154414502152
7131413611146
oct25416270124
97411001015
102889445460
111253020160
12687804958
13370816955
141d5a68c96
1511da06ec5
hexac397054

2889445460 has 96 divisors (see below), whose sum is σ = 7046911872. Its totient is φ = 983531520.

The previous prime is 2889445423. The next prime is 2889445483. The reversal of 2889445460 is 645449882.

It is a super-2 number, since 2×28894454602 = 16697790132629223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2889445399 and 2889445408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719819 + ... + 723821.

It is an arithmetic number, because the mean of its divisors is an integer number (73405332).

Almost surely, 22889445460 is an apocalyptic number.

2889445460 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 2889445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523455936).

2889445460 is an abundant number, since it is smaller than the sum of its proper divisors (4157466412).

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

2889445460 is a wasteful number, since it uses less digits than its factorization.

2889445460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The square root of 2889445460 is about 53753.5623005583. The cubic root of 2889445460 is about 1424.3110177079.

The spelling of 2889445460 in words is "two billion, eight hundred eighty-nine million, four hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 193 220 340 374 386 748 772 935 965 1870 1930 2123 3281 3740 3860 4003 4246 6562 8006 8492 10615 13124 16012 16405 20015 21230 32810 36091 40030 42460 44033 65620 68051 72182 80060 88066 136102 144364 176132 180455 220165 272204 340255 360910 440330 680510 721820 748561 772579 880660 1361020 1497122 1545158 2994244 3090316 3742805 3862895 7485610 7725790 8498369 13133843 14971220 15451580 16996738 26267686 33993476 42491845 52535372 65669215 84983690 131338430 144472273 169967380 262676860 288944546 577889092 722361365 1444722730 2889445460