Base | Representation |
---|---|
bin | 1010001010110… |
… | …1011010010011 |
3 | 2222021000101000 |
4 | 2202231122103 |
5 | 41404401311 |
6 | 4122113043 |
7 | 1025355510 |
oct | 242553223 |
9 | 88230330 |
10 | 42653331 |
11 | 22093096 |
12 | 1234b783 |
13 | 8ab5476 |
14 | 5944307 |
15 | 3b28056 |
hex | 28ad693 |
42653331 has 32 divisors (see below), whose sum is σ = 72826880. Its totient is φ = 24167808.
The previous prime is 42653327. The next prime is 42653333. The reversal of 42653331 is 13335624.
It is a happy number.
42653331 is a `hidden beast` number, since 4 + 2 + 653 + 3 + 3 + 1 = 666.
42653331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 42653331 - 22 = 42653327 is a prime.
It is a super-2 number, since 2×426533312 = 3638613290791122, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 42653295 and 42653304.
It is not an unprimeable number, because it can be changed into a prime (42653333) 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 31 ways as a sum of consecutive naturals, for example, 23115 + ... + 24891.
It is an arithmetic number, because the mean of its divisors is an integer number (2275840).
Almost surely, 242653331 is an apocalyptic number.
42653331 is a deficient number, since it is larger than the sum of its proper divisors (30173549).
42653331 is a wasteful number, since it uses less digits than its factorization.
42653331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).
The product of its digits is 6480, while the sum is 27.
The square root of 42653331 is about 6530.9517683106. The cubic root of 42653331 is about 349.3957765451.
42653331 divided by its sum of digits (27) gives a triangular number (1579753 = T1777).
Adding to 42653331 its reverse (13335624), we get a palindrome (55988955).
The spelling of 42653331 in words is "forty-two million, six hundred fifty-three thousand, three hundred thirty-one".
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