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27979344 = 243421589
BaseRepresentation
bin110101010111…
…0111001010000
31221122111110000
41222232321100
524130314334
62435410000
7456551301
oct152567120
957574400
1027979344
1114880328
129453900
135a48333
143a047a8
1526ca299
hex1aaee50

27979344 has 50 divisors (see below), whose sum is σ = 80984090. Its totient is φ = 9326016.

The previous prime is 27979337. The next prime is 27979379. The reversal of 27979344 is 44397972.

It can be written as a sum of positive squares in only one way, i.e., 23619600 + 4359744 = 4860^2 + 2088^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27979344.

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 9 ways as a sum of consecutive naturals, for example, 9499 + ... + 12090.

Almost surely, 227979344 is an apocalyptic number.

27979344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27979344 is an abundant number, since it is smaller than the sum of its proper divisors (53004746).

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

27979344 is a wasteful number, since it uses less digits than its factorization.

27979344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21609 (or 21594 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27979344 is about 5289.5504534885. The cubic root of 27979344 is about 303.5842076492.

The spelling of 27979344 in words is "twenty-seven million, nine hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 21589 43178 64767 86356 129534 172712 194301 259068 345424 388602 518136 582903 777204 1036272 1165806 1554408 1748709 2331612 3108816 3497418 4663224 6994836 9326448 13989672 27979344