Base | Representation |
---|---|
bin | 110100010100… |
… | …1111010000100 |
3 | 1220121211020100 |
4 | 1220221322010 |
5 | 24010402003 |
6 | 2420004100 |
7 | 452122224 |
oct | 150517204 |
9 | 56554210 |
10 | 27434628 |
11 | 14539051 |
12 | 9230630 |
13 | 58b7410 |
14 | 3902084 |
15 | 261dba3 |
hex | 1a29e84 |
27434628 has 108 divisors (see below), whose sum is σ = 78435084. Its totient is φ = 8035200.
The previous prime is 27434623. The next prime is 27434629. The reversal of 27434628 is 82643472.
27434628 is a `hidden beast` number, since 27 + 4 + 3 + 4 + 628 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 25220484 = 1488^2 + 5022^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 27434592 and 27434601.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (27434621) 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 35 ways as a sum of consecutive naturals, for example, 449718 + ... + 449778.
Almost surely, 227434628 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 27434628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217542).
27434628 is an abundant number, since it is smaller than the sum of its proper divisors (51000456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27434628 is a wasteful number, since it uses less digits than its factorization.
27434628 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 110 counting only the distinct ones).
The product of its digits is 64512, while the sum is 36.
The square root of 27434628 is about 5237.8075566023. The cubic root of 27434628 is about 301.6011722873.
The spelling of 27434628 in words is "twenty-seven million, four hundred thirty-four thousand, six hundred twenty-eight".
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