Base | Representation |
---|---|
bin | 1010000000110… |
… | …1111010101010 |
3 | 2221000211020010 |
4 | 2200031322222 |
5 | 41223000132 |
6 | 4100112350 |
7 | 1016665050 |
oct | 240157252 |
9 | 87024203 |
10 | 42000042 |
11 | 21787287 |
12 | 120956b6 |
13 | 8916cc6 |
14 | 58141d0 |
15 | 3a496cc |
hex | 280deaa |
42000042 has 32 divisors (see below), whose sum is σ = 96960384. Its totient is φ = 11880000.
The previous prime is 42000037. The next prime is 42000059. The reversal of 42000042 is 24000024.
It is a junction number, because it is equal to n+sod(n) for n = 41999991 and 42000027.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 9192.
It is an arithmetic number, because the mean of its divisors is an integer number (3030012).
Almost surely, 242000042 is an apocalyptic number.
42000042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
42000042 is an abundant number, since it is smaller than the sum of its proper divisors (54960342).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42000042 is a wasteful number, since it uses less digits than its factorization.
42000042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10014.
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 42000042 is about 6480.7439387774. The cubic root of 42000042 is about 347.6027803562.
Adding to 42000042 its reverse (24000024), we get a palindrome (66000066).
It can be divided in two parts, 420000 and 42, that multiplied together give a square (17640000 = 42002).
The spelling of 42000042 in words is "forty-two million, forty-two", and thus it is an aban number, an eban number, and an uban number.
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