Base | Representation |
---|---|
bin | 1111111110011111100100 |
3 | 21212210001000 |
4 | 33332133210 |
5 | 2033010012 |
6 | 225433300 |
7 | 50412204 |
oct | 17763744 |
9 | 7783030 |
10 | 4188132 |
11 | 2400673 |
12 | 149b830 |
13 | b383b0 |
14 | 7b0404 |
15 | 57addc |
hex | 3fe7e4 |
4188132 has 96 divisors (see below), whose sum is σ = 12387200. Its totient is φ = 1213056.
The previous prime is 4188127. The next prime is 4188133. The reversal of 4188132 is 2318814.
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 = 4188096 and 4188105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4188133) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26598 + ... + 26754.
Almost surely, 24188132 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 4188132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193600).
4188132 is an abundant number, since it is smaller than the sum of its proper divisors (8199068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4188132 is a wasteful number, since it uses less digits than its factorization.
4188132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 202 (or 194 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 4188132 is about 2046.4926093197. The cubic root of 4188132 is about 161.1907516240.
The spelling of 4188132 in words is "four million, one hundred eighty-eight thousand, one hundred thirty-two".
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