Base | Representation |
---|---|
bin | 10000001011000100100000 |
3 | 21222101201000 |
4 | 100023010200 |
5 | 2041132043 |
6 | 230512000 |
7 | 51015330 |
oct | 20130440 |
9 | 7871630 |
10 | 4239648 |
11 | 2436346 |
12 | 1505600 |
13 | b5598a |
14 | 7c50c0 |
15 | 58b2d3 |
hex | 40b120 |
4239648 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1209600.
The previous prime is 4239611. The next prime is 4239649. The reversal of 4239648 is 8469324.
It is a happy number.
4239648 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 648 = 666.
4239648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a d-powerful number, because it can be written as 46 + 213 + 35 + 9 + 62 + 411 + 85 .
It is not an unprimeable number, because it can be changed into a prime (4239649) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5698 + ... + 6398.
It is an arithmetic number, because the mean of its divisors is an integer number (147420).
Almost surely, 24239648 is an apocalyptic number.
4239648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4239648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).
4239648 is an abundant number, since it is smaller than the sum of its proper divisors (9912672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4239648 is a wasteful number, since it uses less digits than its factorization.
4239648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 727 (or 713 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 4239648 is about 2059.0405532675. The cubic root of 4239648 is about 161.8489676041.
The spelling of 4239648 in words is "four million, two hundred thirty-nine thousand, six hundred forty-eight".
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