| Base | Representation |
|---|---|
| bin | 110100010100… |
| … | …1101100000000 |
| 3 | 1220121210000000 |
| 4 | 1220221230000 |
| 5 | 24010334403 |
| 6 | 2420000000 |
| 7 | 452116500 |
| oct | 150515400 |
| 9 | 56553000 |
| 10 | 27433728 |
| 11 | 14538403 |
| 12 | 9230000 |
| 13 | 58b6b9a |
| 14 | 3901a00 |
| 15 | 261d7a3 |
| hex | 1a29b00 |
27433728 has 216 divisors, whose sum is σ = 95536560. Its totient is φ = 7838208.
The previous prime is 27433727. The next prime is 27433751. The reversal of 27433728 is 82733472.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (216).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (56448) is a multiple of the sum of its prime divisors (12).
It is a junction number, because it is equal to n+sod(n) for n = 27433692 and 27433701.
It is not an unprimeable number, because it can be changed into a prime (27433727) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3919101 + ... + 3919107.
Almost surely, 227433728 is an apocalyptic number.
27433728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47768280).
27433728 is an abundant number, since it is smaller than the sum of its proper divisors (68102832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27433728 is an frugal number, since it uses more digits than its factorization.
27433728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51 (or 12 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 27433728 is about 5237.7216420883. The cubic root of 27433728 is about 301.5978742166.
The spelling of 27433728 in words is "twenty-seven million, four hundred thirty-three thousand, seven hundred twenty-eight".
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