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2889144 = 233240127
BaseRepresentation
bin1011000001010110111000
312102210011100
423001112320
51214423034
6141531400
733362106
oct13012670
95383140
102889144
1116a3725
12b73b60
137a206b
14552c76
153c1099
hex2c15b8

2889144 has 24 divisors (see below), whose sum is σ = 7824960. Its totient is φ = 963024.

The previous prime is 2889119. The next prime is 2889149. The reversal of 2889144 is 4419882.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2889099 and 2889108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19992 + ... + 20135.

It is an arithmetic number, because the mean of its divisors is an integer number (326040).

22889144 is an apocalyptic number.

2889144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2889144 is an abundant number, since it is smaller than the sum of its proper divisors (4935816).

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

2889144 is a wasteful number, since it uses less digits than its factorization.

2889144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40139 (or 40132 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2889144 is about 1699.7482166486. The cubic root of 2889144 is about 142.4261482513.

The spelling of 2889144 in words is "two million, eight hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 40127 80254 120381 160508 240762 321016 361143 481524 722286 963048 1444572 2889144