Base | Representation |
---|---|
bin | 1010000001000… |
… | …0101001001000 |
3 | 2221001101112200 |
4 | 2200100221020 |
5 | 41223324313 |
6 | 4100240200 |
7 | 1020042441 |
oct | 240205110 |
9 | 87041480 |
10 | 42011208 |
11 | 21794708 |
12 | 120a0060 |
13 | 891c105 |
14 | 58182c8 |
15 | 3a4cb73 |
hex | 2810a48 |
42011208 has 48 divisors (see below), whose sum is σ = 115353420. Its totient is φ = 13810176.
The previous prime is 42011201. The next prime is 42011209. The reversal of 42011208 is 80211024.
It can be written as a sum of positive squares in 2 ways, for example, as 40220964 + 1790244 = 6342^2 + 1338^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (42011201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260 + ... + 9252.
Almost surely, 242011208 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 42011208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57676710).
42011208 is an abundant number, since it is smaller than the sum of its proper divisors (73342212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42011208 is a wasteful number, since it uses less digits than its factorization.
42011208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8078 (or 8071 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 42011208 is about 6481.6053566998. The cubic root of 42011208 is about 347.6335818233.
It can be divided in two parts, 420 and 11208, that added together give a triangular number (11628 = T152).
The spelling of 42011208 in words is "forty-two million, eleven thousand, two hundred eight".
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