Base | Representation |
---|---|
bin | 1010000001011… |
… | …0111010101000 |
3 | 2221002200210101 |
4 | 2200112322220 |
5 | 41230140104 |
6 | 4100555144 |
7 | 1020210400 |
oct | 240267250 |
9 | 87080711 |
10 | 42036904 |
11 | 21801a48 |
12 | 120b2ab4 |
13 | 892aa10 |
14 | 5823800 |
15 | 3a555a4 |
hex | 2816ea8 |
42036904 has 96 divisors (see below), whose sum is σ = 100978920. Its totient is φ = 16257024.
The previous prime is 42036889. The next prime is 42036913. The reversal of 42036904 is 40963024.
It can be written as a sum of positive squares in 4 ways, for example, as 17056900 + 24980004 = 4130^2 + 4998^2 .
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 371952 + ... + 372064.
Almost surely, 242036904 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 42036904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50489460).
42036904 is an abundant number, since it is smaller than the sum of its proper divisors (58942016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42036904 is a wasteful number, since it uses less digits than its factorization.
42036904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 208 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 28.
The square root of 42036904 is about 6483.5872786599. The cubic root of 42036904 is about 347.7044436427.
Adding to 42036904 its reverse (40963024), we get a palindrome (82999928).
The spelling of 42036904 in words is "forty-two million, thirty-six thousand, nine hundred four".
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