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2588064 = 25326959
BaseRepresentation
bin1001110111110110100000
311212111011020
421313312200
51130304224
6131245440
730666243
oct11676640
94774136
102588064
1115084a6
12a49880
136c7ccb
144b525a
15361c79
hex277da0

2588064 has 24 divisors (see below), whose sum is σ = 6793920. Its totient is φ = 862656.

The previous prime is 2588059. The next prime is 2588071. The reversal of 2588064 is 4608852.

2588064 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13384 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (283080).

22588064 is an apocalyptic number.

2588064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2588064 is an abundant number, since it is smaller than the sum of its proper divisors (4205856).

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

2588064 is a wasteful number, since it uses less digits than its factorization.

2588064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26972 (or 26964 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2588064 is about 1608.7460955664. The cubic root of 2588064 is about 137.2961430911.

The spelling of 2588064 in words is "two million, five hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 26959 53918 80877 107836 161754 215672 323508 431344 647016 862688 1294032 2588064