Base | Representation |
---|---|
bin | 110100010010… |
… | …0101000000000 |
3 | 1220120201120000 |
4 | 1220210220000 |
5 | 24004203432 |
6 | 2415320000 |
7 | 452002155 |
oct | 150445000 |
9 | 56521500 |
10 | 27412992 |
11 | 14523872 |
12 | 9220000 |
13 | 58aa609 |
14 | 38d822c |
15 | 261757c |
hex | 1a24a00 |
27412992 has 100 divisors (see below), whose sum is σ = 81944346. Its totient is φ = 9123840.
The previous prime is 27412981. The next prime is 27412999. The reversal of 27412992 is 29921472.
It can be written as a sum of positive squares in only one way, i.e., 19927296 + 7485696 = 4464^2 + 2736^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is not an unprimeable number, because it can be changed into a prime (27412999) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41142 + ... + 41802.
Almost surely, 227412992 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 27412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40972173).
27412992 is an abundant number, since it is smaller than the sum of its proper divisors (54531354).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27412992 is an frugal number, since it uses more digits than its factorization.
27412992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 691 (or 666 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 27412992 is about 5235.7417812570. The cubic root of 27412992 is about 301.5218666846.
The spelling of 27412992 in words is "twenty-seven million, four hundred twelve thousand, nine hundred ninety-two".
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