Base | Representation |
---|---|
bin | 10110001101001110100000 |
3 | 101221202101100 |
4 | 112031032200 |
5 | 2442240334 |
6 | 324434400 |
7 | 100323564 |
oct | 26151640 |
9 | 11852340 |
10 | 5821344 |
11 | 3316731 |
12 | 1b48a00 |
13 | 128a8a9 |
14 | ab76a4 |
15 | 79ec99 |
hex | 58d3a0 |
5821344 has 144 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1720320.
The previous prime is 5821339. The next prime is 5821349. The reversal of 5821344 is 4431285.
It is an interprime number because it is at equal distance from previous prime (5821339) and next prime (5821349).
It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 1411344 = 2100^2 + 1188^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (5821349) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141964 + ... + 142004.
Almost surely, 25821344 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 5821344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).
5821344 is an abundant number, since it is smaller than the sum of its proper divisors (12753576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5821344 is a wasteful number, since it uses less digits than its factorization.
5821344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103 (or 92 counting only the distinct ones).
The product of its digits is 3840, while the sum is 27.
The square root of 5821344 is about 2412.7461532453. The cubic root of 5821344 is about 179.8903035322.
The spelling of 5821344 in words is "five million, eight hundred twenty-one thousand, three hundred forty-four".
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