Base | Representation |
---|---|
bin | 110100001000… |
… | …0001100110000 |
3 | 1220102110210100 |
4 | 1220100030300 |
5 | 23444014303 |
6 | 2413432400 |
7 | 451203225 |
oct | 150201460 |
9 | 56373710 |
10 | 27329328 |
11 | 14476a24 |
12 | 919b700 |
13 | 587b500 |
14 | 38b594c |
15 | 25ec8a3 |
hex | 1a10330 |
27329328 has 90 divisors (see below), whose sum is σ = 82893876. Its totient is φ = 8401536.
The previous prime is 27329317. The next prime is 27329333. The reversal of 27329328 is 82392372.
27329328 is a `hidden beast` number, since 2 + 7 + 329 + 328 = 666.
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 = 27329292 and 27329301.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23775 + ... + 24897.
Almost surely, 227329328 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 27329328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41446938).
27329328 is an abundant number, since it is smaller than the sum of its proper divisors (55564548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27329328 is a wasteful number, since it uses less digits than its factorization.
27329328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1163 (or 1141 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 27329328 is about 5227.7459769962. The cubic root of 27329328 is about 301.2148075026.
The spelling of 27329328 in words is "twenty-seven million, three hundred twenty-nine thousand, three hundred twenty-eight".
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