Base | Representation |
---|---|
bin | 10000110100101100100000 |
3 | 22022001120200 |
4 | 100310230200 |
5 | 2112111034 |
6 | 234305200 |
7 | 52325364 |
oct | 20645440 |
9 | 8261520 |
10 | 4410144 |
11 | 2542452 |
12 | 1588200 |
13 | bb546b |
14 | 82b2a4 |
15 | 5c1a99 |
hex | 434b20 |
4410144 has 36 divisors (see below), whose sum is σ = 12542166. Its totient is φ = 1469952.
The previous prime is 4410143. The next prime is 4410163.
4410144 is nontrivially palindromic in base 10 and base 11.
It can be written as a sum of positive squares in only one way, i.e., 4410000 + 144 = 2100^2 + 12^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (4410143) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7369 + ... + 7944.
Almost surely, 24410144 is an apocalyptic number.
It is an amenable number.
4410144 is an abundant number, since it is smaller than the sum of its proper divisors (8132022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4410144 is a wasteful number, since it uses less digits than its factorization.
4410144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15329 (or 15318 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 4410144 is about 2100.0342854344. The cubic root of 4410144 is about 163.9900846672.
It can be divided in two parts, 4410 and 144, that added together give a palindrome (4554).
The spelling of 4410144 in words is "four million, four hundred ten thousand, one hundred forty-four".
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