Base | Representation |
---|---|
bin | 1111110010110… |
… | …0110010100000 |
3 | 11121122112100000 |
4 | 3330230302200 |
5 | 113424244434 |
6 | 10323500000 |
7 | 1433030310 |
oct | 374546240 |
9 | 147575300 |
10 | 66243744 |
11 | 344359a6 |
12 | 1a227600 |
13 | 10954ba8 |
14 | 8b25440 |
15 | 5c37b99 |
hex | 3f2cca0 |
66243744 has 144 divisors (see below), whose sum is σ = 223449408. Its totient is φ = 18911232.
The previous prime is 66243739. The next prime is 66243763. The reversal of 66243744 is 44734266.
66243744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
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.
It is a junction number, because it is equal to n+sod(n) for n = 66243699 and 66243708.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53824 + ... + 55040.
It is an arithmetic number, because the mean of its divisors is an integer number (1551732).
Almost surely, 266243744 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 66243744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111724704).
66243744 is an abundant number, since it is smaller than the sum of its proper divisors (157205664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66243744 is a wasteful number, since it uses less digits than its factorization.
66243744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).
The product of its digits is 96768, while the sum is 36.
The square root of 66243744 is about 8139.0259859519. The cubic root of 66243744 is about 404.6208797845.
The spelling of 66243744 in words is "sixty-six million, two hundred forty-three thousand, seven hundred forty-four".
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