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27058288 = 2417313209
BaseRepresentation
bin110011100111…
…0000001110000
31212220200222211
41213032001300
523411331123
62403541504
7445664065
oct147160160
955820884
1027058288
1114301324
12908a894
1357b502a
143844c6c
15259740d
hex19ce070

27058288 has 40 divisors (see below), whose sum is σ = 57317760. Its totient is φ = 12318720.

The previous prime is 27058279. The next prime is 27058289. The reversal of 27058288 is 88285072.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27058288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27058289) 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 7 ways as a sum of consecutive naturals, for example, 6828 + ... + 10036.

It is an arithmetic number, because the mean of its divisors is an integer number (1432944).

Almost surely, 227058288 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 27058288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28658880).

27058288 is an abundant number, since it is smaller than the sum of its proper divisors (30259472).

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

27058288 is a wasteful number, since it uses less digits than its factorization.

27058288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 27058288 is about 5201.7581643133. The cubic root of 27058288 is about 300.2157263182.

The spelling of 27058288 in words is "twenty-seven million, fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 3209 4216 6418 8432 12836 25672 51344 54553 99479 109106 198958 218212 397916 436424 795832 872848 1591664 1691143 3382286 6764572 13529144 27058288