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2589024 = 253149181
BaseRepresentation
bin1001111000000101100000
311212112110210
421320011200
51130322044
6131254120
731002114
oct11700540
94775423
102589024
111509199
12a4a340
136c8589
144b5744
153621b9
hex278160

2589024 has 48 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 852480.

The previous prime is 2589011. The next prime is 2589029. The reversal of 2589024 is 4209852.

2589024 is digitally balanced in base 5, 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 2588982 and 2589000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14214 + ... + 14394.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

22589024 is an apocalyptic number.

2589024 is a gapful number since it is divisible by the number (24) 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 2589024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2589024 is an abundant number, since it is smaller than the sum of its proper divisors (4290576).

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

2589024 is a wasteful number, since it uses less digits than its factorization.

2589024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2589024 is about 1609.0444369252. The cubic root of 2589024 is about 137.3131169119.

The spelling of 2589024 in words is "two million, five hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 181 298 362 447 543 596 724 894 1086 1192 1448 1788 2172 2384 2896 3576 4344 4768 5792 7152 8688 14304 17376 26969 53938 80907 107876 161814 215752 323628 431504 647256 863008 1294512 2589024