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27248064 = 263141917
BaseRepresentation
bin110011111110…
…0010111000000
31220021100022120
41213330113000
523433414224
62412004240
7450414264
oct147742700
956240276
1027248064
1114420968
129160680
13585051c
1438940a4
1525d3779
hex19fc5c0

27248064 has 28 divisors (see below), whose sum is σ = 72094344. Its totient is φ = 9082624.

The previous prime is 27248063. The next prime is 27248087. The reversal of 27248064 is 46084272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27248063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 70767 + ... + 71150.

It is an arithmetic number, because the mean of its divisors is an integer number (2574798).

Almost surely, 227248064 is an apocalyptic number.

27248064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27248064 is an abundant number, since it is smaller than the sum of its proper divisors (44846280).

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

27248064 is a wasteful number, since it uses less digits than its factorization.

27248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141932 (or 141922 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 27248064 is about 5219.9678159927. The cubic root of 27248064 is about 300.9159561240.

The spelling of 27248064 in words is "twenty-seven million, two hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 141917 283834 425751 567668 851502 1135336 1703004 2270672 3406008 4541344 6812016 9082688 13624032 27248064