Base | Representation |
---|---|
bin | 1111110101100… |
… | …1111001110100 |
3 | 11121222220211000 |
4 | 3331121321310 |
5 | 114001203112 |
6 | 10331443300 |
7 | 1434430122 |
oct | 375317164 |
9 | 147886730 |
10 | 66428532 |
11 | 34551815 |
12 | 1a2b6530 |
13 | 109bb031 |
14 | 8b72912 |
15 | 5c727dc |
hex | 3f59e74 |
66428532 has 48 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 21890880.
The previous prime is 66428491. The next prime is 66428539. The reversal of 66428532 is 23582466.
66428532 is a `hidden beast` number, since 6 + 642 + 8 + 5 + 3 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66428539) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6157 + ... + 13067.
It is an arithmetic number, because the mean of its divisors is an integer number (3628800).
Almost surely, 266428532 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 66428532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).
66428532 is an abundant number, since it is smaller than the sum of its proper divisors (107753868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66428532 is a wasteful number, since it uses less digits than its factorization.
66428532 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7013 (or 7005 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 66428532 is about 8150.3700529485. The cubic root of 66428532 is about 404.9967626627.
The spelling of 66428532 in words is "sixty-six million, four hundred twenty-eight thousand, five hundred thirty-two".
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