Search a number
-
+
2896144 = 24315839
BaseRepresentation
bin1011000011000100010000
312110010202121
423003010100
51220134034
6142024024
733421366
oct13030420
95403677
102896144
1116a8a09
12b78014
137a52c4
14555636
153c31b4
hex2c3110

2896144 has 20 divisors (see below), whose sum is σ = 5793280. Its totient is φ = 1401120.

The previous prime is 2896139. The next prime is 2896147. The reversal of 2896144 is 4416982.

2896144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

2896144 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (2896147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2424 + ... + 3415.

It is an arithmetic number, because the mean of its divisors is an integer number (289664).

22896144 is an apocalyptic number.

It is an amenable number.

2896144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2896144 is a wasteful number, since it uses less digits than its factorization.

2896144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5872 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 2896144 is about 1701.8060994132. The cubic root of 2896144 is about 142.5410818251.

The spelling of 2896144 in words is "two million, eight hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 5839 11678 23356 46712 93424 181009 362018 724036 1448072 2896144