Base | Representation |
---|---|
bin | 111100110111000… |
… | …0011100010001000 |
3 | 12021022121020211112 |
4 | 1321232003202020 |
5 | 13140240204412 |
6 | 534345345452 |
7 | 101414462432 |
oct | 17156034210 |
9 | 5238536745 |
10 | 2042116232 |
11 | 9587a3172 |
12 | 48ba98288 |
13 | 267102200 |
14 | 1552dd652 |
15 | be431722 |
hex | 79b83888 |
2042116232 has 36 divisors (see below), whose sum is σ = 4149536895. Its totient is φ = 941748288.
The previous prime is 2042116231. The next prime is 2042116243. The reversal of 2042116232 is 2326112402.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 1564518916 + 477597316 = 39554^2 + 21854^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=31954.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 2042116198 and 2042116207.
It is not an unprimeable number, because it can be changed into a prime (2042116231) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1660994 + ... + 1662222.
Almost surely, 22042116232 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 2042116232
2042116232 is an abundant number, since it is smaller than the sum of its proper divisors (2107420663).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042116232 is an equidigital number, since it uses as much as digits as its factorization.
2042116232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2490 (or 1244 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
The square root of 2042116232 is about 45189.7801720699. The cubic root of 2042116232 is about 1268.7035423402.
Multiplying 2042116232 by its product of nonzero digits (1152), we get a square (2352517899264 = 15337922).
Adding to 2042116232 its reverse (2326112402), we get a palindrome (4368228634).
The spelling of 2042116232 in words is "two billion, forty-two million, one hundred sixteen thousand, two hundred thirty-two".
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