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27947244 = 22313315779
BaseRepresentation
bin110101010011…
…1000011101100
31221120212102010
41222213003230
524123302434
62435001220
7456355563
oct152470354
957525363
1027947244
11148591a6
129439210
135a36840
1439d6bda
1526c09e9
hex1aa70ec

27947244 has 48 divisors (see below), whose sum is σ = 72504320. Its totient is φ = 8320320.

The previous prime is 27947221. The next prime is 27947251. The reversal of 27947244 is 44274972.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 1947 + ... + 7725.

Almost surely, 227947244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27947244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36252160).

27947244 is an abundant number, since it is smaller than the sum of its proper divisors (44557076).

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

27947244 is a wasteful number, since it uses less digits than its factorization.

27947244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5828 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 27947244 is about 5286.5152983795. The cubic root of 27947244 is about 303.4680650383.

The spelling of 27947244 in words is "twenty-seven million, nine hundred forty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 5779 11558 17337 23116 34674 69348 75127 150254 179149 225381 300508 358298 450762 537447 716596 901524 1074894 2149788 2328937 4657874 6986811 9315748 13973622 27947244