Base | Representation |
---|---|
bin | 1111110101100… |
… | …1011001000000 |
3 | 11121222210221020 |
4 | 3331121121000 |
5 | 114001121212 |
6 | 10331425440 |
7 | 1434421032 |
oct | 375313100 |
9 | 147883836 |
10 | 66426432 |
11 | 34550186 |
12 | 1a2b5280 |
13 | 109ba0a7 |
14 | 8b71c52 |
15 | 5c71d8c |
hex | 3f59640 |
66426432 has 112 divisors (see below), whose sum is σ = 187756800. Its totient is φ = 20666880.
The previous prime is 66426431. The next prime is 66426449. The reversal of 66426432 is 23462466.
66426432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
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 = 66426393 and 66426402.
It is not an unprimeable number, because it can be changed into a prime (66426431) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 477819 + ... + 477957.
It is an arithmetic number, because the mean of its divisors is an integer number (1676400).
Almost surely, 266426432 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 66426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93878400).
66426432 is an abundant number, since it is smaller than the sum of its proper divisors (121330368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66426432 is a wasteful number, since it uses less digits than its factorization.
66426432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 304 (or 294 counting only the distinct ones).
The product of its digits is 41472, while the sum is 33.
The square root of 66426432 is about 8150.2412234240. The cubic root of 66426432 is about 404.9924949074.
Adding to 66426432 its reverse (23462466), we get a palindrome (89888898).
The spelling of 66426432 in words is "sixty-six million, four hundred twenty-six thousand, four hundred thirty-two".
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