Base | Representation |
---|---|
bin | 1111110011110110000000 |
3 | 21210120012110 |
4 | 33303312000 |
5 | 2030111022 |
6 | 224455320 |
7 | 50141061 |
oct | 17636600 |
9 | 7716173 |
10 | 4144512 |
11 | 2380919 |
12 | 147a540 |
13 | b21598 |
14 | 79c568 |
15 | 56d00c |
hex | 3f3d80 |
4144512 has 64 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1344000.
The previous prime is 4144487. The next prime is 4144537. The reversal of 4144512 is 2154414.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (4144487) and next prime (4144537).
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16387 + ... + 16637.
It is an arithmetic number, because the mean of its divisors is an integer number (176715).
Almost surely, 24144512 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 4144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).
4144512 is an abundant number, since it is smaller than the sum of its proper divisors (7165248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4144512 is a wasteful number, since it uses less digits than its factorization.
4144512 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311 (or 299 counting only the distinct ones).
The product of its digits is 640, while the sum is 21.
The square root of 4144512 is about 2035.8074565145. The cubic root of 4144512 is about 160.6291891795.
Adding to 4144512 its reverse (2154414), we get a palindrome (6298926).
It can be divided in two parts, 4144 and 512, that added together give a triangular number (4656 = T96).
The spelling of 4144512 in words is "four million, one hundred forty-four thousand, five hundred twelve".
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