Base | Representation |
---|---|
bin | 10000101111010010000000 |
3 | 22020221011100 |
4 | 100233102000 |
5 | 2110403333 |
6 | 234014400 |
7 | 52203624 |
oct | 20572200 |
9 | 8227140 |
10 | 4387968 |
11 | 2527822 |
12 | 1577400 |
13 | ba8340 |
14 | 823184 |
15 | 5ba213 |
hex | 42f480 |
4387968 has 96 divisors (see below), whose sum is σ = 13644540. Its totient is φ = 1345536.
The previous prime is 4387939. The next prime is 4387969. The reversal of 4387968 is 8697834.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 28224 = 2088^2 + 168^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (4387969) 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, 14830 + ... + 15122.
Almost surely, 24387968 is an apocalyptic number.
4387968 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 4387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822270).
4387968 is an abundant number, since it is smaller than the sum of its proper divisors (9256572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4387968 is a wasteful number, since it uses less digits than its factorization.
4387968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 326 (or 311 counting only the distinct ones).
The product of its digits is 290304, while the sum is 45.
The square root of 4387968 is about 2094.7477175068. The cubic root of 4387968 is about 163.7147530143.
The spelling of 4387968 in words is "four million, three hundred eighty-seven thousand, nine hundred sixty-eight".
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