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27288064 = 29223239
BaseRepresentation
bin110100000011…
…0001000000000
31220100101012001
41220012020000
523441204224
62412513344
7450642016
oct150061000
956311161
1027288064
1114448a21
12917b854
1358657ab
1438a48b6
1525e0544
hex1a06200

27288064 has 40 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 13526016.

The previous prime is 27288049. The next prime is 27288067. The reversal of 27288064 is 46088272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27288067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114057 + ... + 114295.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 227288064 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 27288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

27288064 is an abundant number, since it is smaller than the sum of its proper divisors (27708416).

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

27288064 is an equidigital number, since it uses as much as digits as its factorization.

27288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 27288064 is about 5223.7978521378. The cubic root of 27288064 is about 301.0631317562.

The spelling of 27288064 in words is "twenty-seven million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 223 239 256 446 478 512 892 956 1784 1912 3568 3824 7136 7648 14272 15296 28544 30592 53297 57088 61184 106594 114176 122368 213188 426376 852752 1705504 3411008 6822016 13644032 27288064