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289665144 = 23324023127
BaseRepresentation
bin10001010000111…
…111000001111000
3202012001111212200
4101100333001320
51043123241034
644424310200
710115053536
oct2120770170
9665044780
10289665144
1113956578a
1281012360
134801c9c2
142a683156
151a66ba99
hex1143f078

289665144 has 24 divisors (see below), whose sum is σ = 784509960. Its totient is φ = 96555024.

The previous prime is 289665107. The next prime is 289665163. The reversal of 289665144 is 441566982.

289665144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 289665144.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2011492 + ... + 2011635.

It is an arithmetic number, because the mean of its divisors is an integer number (32687915).

Almost surely, 2289665144 is an apocalyptic number.

289665144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289665144 is an abundant number, since it is smaller than the sum of its proper divisors (494844816).

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

289665144 is a wasteful number, since it uses less digits than its factorization.

289665144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023139 (or 4023132 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 289665144 is about 17019.5518154856. The cubic root of 289665144 is about 661.6557326208.

The spelling of 289665144 in words is "two hundred eighty-nine million, six hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4023127 8046254 12069381 16092508 24138762 32185016 36208143 48277524 72416286 96555048 144832572 289665144