Base | Representation |
---|---|
bin | 1010000001100… |
… | …0110110100000 |
3 | 2221010002200000 |
4 | 2200120312200 |
5 | 41230413312 |
6 | 4101100000 |
7 | 1020242454 |
oct | 240306640 |
9 | 87102600 |
10 | 42044832 |
11 | 218079a5 |
12 | 120b7600 |
13 | 89314cb |
14 | 5826664 |
15 | 3a57adc |
hex | 2818da0 |
42044832 has 72 divisors (see below), whose sum is σ = 124016256. Its totient is φ = 14012352.
The previous prime is 42044813. The next prime is 42044833. The reversal of 42044832 is 23844024.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 42044796 and 42044805.
It is not an unprimeable number, because it can be changed into a prime (42044833) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5073 + ... + 10479.
It is an arithmetic number, because the mean of its divisors is an integer number (1722448).
Almost surely, 242044832 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 42044832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62008128).
42044832 is an abundant number, since it is smaller than the sum of its proper divisors (81971424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42044832 is an equidigital number, since it uses as much as digits as its factorization.
42044832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5432 (or 5412 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 42044832 is about 6484.1986397704. The cubic root of 42044832 is about 347.7263008466.
Adding to 42044832 its reverse (23844024), we get a palindrome (65888856).
The spelling of 42044832 in words is "forty-two million, forty-four thousand, eight hundred thirty-two".
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