Base | Representation |
---|---|
bin | 1010000010111… |
… | …0100011100100 |
3 | 2221021121121121 |
4 | 2200232203210 |
5 | 41241234412 |
6 | 4103023324 |
7 | 1021062604 |
oct | 240564344 |
9 | 87247547 |
10 | 42133732 |
11 | 21868773 |
12 | 1213ab44 |
13 | 8962b04 |
14 | 584ac04 |
15 | 3a74107 |
hex | 282e8e4 |
42133732 has 24 divisors (see below), whose sum is σ = 76257720. Its totient is φ = 20355840.
The previous prime is 42133717. The next prime is 42133733. The reversal of 42133732 is 23733124.
It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 42068196 = 256^2 + 6486^2 .
It is a junction number, because it is equal to n+sod(n) for n = 42133697 and 42133706.
It is not an unprimeable number, because it can be changed into a prime (42133733) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16698 + ... + 19054.
It is an arithmetic number, because the mean of its divisors is an integer number (3177405).
Almost surely, 242133732 is an apocalyptic number.
It is an amenable number.
42133732 is a deficient number, since it is larger than the sum of its proper divisors (34123988).
42133732 is a wasteful number, since it uses less digits than its factorization.
42133732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2511 (or 2509 counting only the distinct ones).
The product of its digits is 3024, while the sum is 25.
The square root of 42133732 is about 6491.0501461628. The cubic root of 42133732 is about 347.9712069365.
Adding to 42133732 its reverse (23733124), we get a palindrome (65866856).
The spelling of 42133732 in words is "forty-two million, one hundred thirty-three thousand, seven hundred thirty-two".
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