Base | Representation |
---|---|
bin | 1010000011111… |
… | …1101110000000 |
3 | 2221102012001022 |
4 | 2200333232000 |
5 | 41301012112 |
6 | 4104325012 |
7 | 1021504553 |
oct | 240775600 |
9 | 87365038 |
10 | 42204032 |
11 | 21906572 |
12 | 12173768 |
13 | 8988b00 |
14 | 586869a |
15 | 3a89d72 |
hex | 283fb80 |
42204032 has 48 divisors (see below), whose sum is σ = 91090080. Its totient is φ = 19468800.
The previous prime is 42204017. The next prime is 42204049. The reversal of 42204032 is 23040224.
It is a self number, because there is not a number n which added to its sum of digits gives 42204032.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20657 + ... + 22607.
It is an arithmetic number, because the mean of its divisors is an integer number (1897710).
Almost surely, 242204032 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 42204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45545040).
42204032 is an abundant number, since it is smaller than the sum of its proper divisors (48886048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42204032 is a wasteful number, since it uses less digits than its factorization.
42204032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1991 (or 1966 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 42204032 is about 6496.4630376844. The cubic root of 42204032 is about 348.1646290249.
Adding to 42204032 its reverse (23040224), we get a palindrome (65244256).
The spelling of 42204032 in words is "forty-two million, two hundred four thousand, thirty-two".
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