Base | Representation |
---|---|
bin | 1111110101100… |
… | …1100111010000 |
3 | 11121222212012000 |
4 | 3331121213100 |
5 | 114001133334 |
6 | 10331434000 |
7 | 1434423504 |
oct | 375314720 |
9 | 147885160 |
10 | 66427344 |
11 | 34550935 |
12 | 1a2b5900 |
13 | 109ba629 |
14 | 8b72304 |
15 | 5c72299 |
hex | 3f599d0 |
66427344 has 80 divisors (see below), whose sum is σ = 200731200. Its totient is φ = 20974464.
The previous prime is 66427343. The next prime is 66427357. The reversal of 66427344 is 44372466.
66427344 is a `hidden beast` number, since 6 + 642 + 7 + 3 + 4 + 4 = 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 = 66427299 and 66427308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66427343) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4162 + ... + 12254.
It is an arithmetic number, because the mean of its divisors is an integer number (2509140).
Almost surely, 266427344 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 66427344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100365600).
66427344 is an abundant number, since it is smaller than the sum of its proper divisors (134303856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66427344 is a wasteful number, since it uses less digits than its factorization.
66427344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8129 (or 8117 counting only the distinct ones).
The product of its digits is 96768, while the sum is 36.
The square root of 66427344 is about 8150.2971724962. The cubic root of 66427344 is about 404.9943483436.
The spelling of 66427344 in words is "sixty-six million, four hundred twenty-seven thousand, three hundred forty-four".
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