Base | Representation |
---|---|
bin | 10000000000000010000000 |
3 | 21220002200100 |
4 | 100000002000 |
5 | 2033210212 |
6 | 225522400 |
7 | 50436444 |
oct | 20000200 |
9 | 7802610 |
10 | 4194432 |
11 | 2405380 |
12 | 14a3400 |
13 | b3b218 |
14 | 7b2824 |
15 | 57cbdc |
hex | 400080 |
4194432 has 96 divisors (see below), whose sum is σ = 13206960. Its totient is φ = 1267200.
The previous prime is 4194419. The next prime is 4194433. The reversal of 4194432 is 2344914.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 4194396 and 4194405.
It is not an unprimeable number, because it can be changed into a prime (4194433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12507 + ... + 12837.
Almost surely, 24194432 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 4194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603480).
4194432 is an abundant number, since it is smaller than the sum of its proper divisors (9012528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4194432 is a wasteful number, since it uses less digits than its factorization.
4194432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 362 (or 347 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 4194432 is about 2048.0312497616. The cubic root of 4194432 is about 161.2715348921.
It can be divided in two parts, 419 and 4432, that added together give a triangular number (4851 = T98).
The spelling of 4194432 in words is "four million, one hundred ninety-four thousand, four hundred thirty-two".
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