Search a number
-
+
2883888 = 243272861
BaseRepresentation
bin1011000000000100110000
312102111221200
423000010300
51214241023
6141451200
733340560
oct13000460
95374850
102883888
11169a787
12b70b00
1379c857
14550da0
153be743
hex2c0130

2883888 has 60 divisors (see below), whose sum is σ = 9227088. Its totient is φ = 823680.

The previous prime is 2883887. The next prime is 2883893. The reversal of 2883888 is 8883882.

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

It is not an unprimeable number, because it can be changed into a prime (2883887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 2438.

22883888 is an apocalyptic number.

2883888 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 2883888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613544).

2883888 is an abundant number, since it is smaller than the sum of its proper divisors (6343200).

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

2883888 is a wasteful number, since it uses less digits than its factorization.

2883888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2873 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 2883888 is about 1698.2014014833. The cubic root of 2883888 is about 142.3397274698.

The spelling of 2883888 in words is "two million, eight hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2861 5722 8583 11444 17166 20027 22888 25749 34332 40054 45776 51498 60081 68664 80108 102996 120162 137328 160216 180243 205992 240324 320432 360486 411984 480648 720972 961296 1441944 2883888