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27984306 = 237976869
BaseRepresentation
bin110101011000…
…0000110110010
31221122202020210
41222300012302
524130444211
62435444550
7456601620
oct152600662
957582223
1027984306
1114884029
129456756
135a4a67c
143a06510
1526cb9a6
hex1ab01b2

27984306 has 32 divisors (see below), whose sum is σ = 64632960. Its totient is φ = 7911936.

The previous prime is 27984301. The next prime is 27984343. The reversal of 27984306 is 60348972.

It is not an unprimeable number, because it can be changed into a prime (27984301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640 + ... + 7508.

It is an arithmetic number, because the mean of its divisors is an integer number (2019780).

Almost surely, 227984306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27984306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32316480).

27984306 is an abundant number, since it is smaller than the sum of its proper divisors (36648654).

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

27984306 is a wasteful number, since it uses less digits than its factorization.

27984306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 27984306 is about 5290.0194706636. The cubic root of 27984306 is about 303.6021529806.

The spelling of 27984306 in words is "twenty-seven million, nine hundred eighty-four thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 582 679 1358 2037 4074 6869 13738 20607 41214 48083 96166 144249 288498 666293 1332586 1998879 3997758 4664051 9328102 13992153 27984306