Base | Representation |
---|---|
bin | 11010010110111… |
… | …110100101000000 |
3 | 1010211010200000210 |
4 | 122112332211000 |
5 | 1401202343404 |
6 | 111514314120 |
7 | 13646621340 |
oct | 3226764500 |
9 | 1124120023 |
10 | 442231104 |
11 | 20769a857 |
12 | 104128940 |
13 | 70809813 |
14 | 42a38d20 |
15 | 28c56689 |
hex | 1a5be940 |
442231104 has 112 divisors (see below), whose sum is σ = 1373518208. Its totient is φ = 122923008.
The previous prime is 442231103. The next prime is 442231109. The reversal of 442231104 is 401132244.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (442231103) 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, 45282 + ... + 54174.
Almost surely, 2442231104 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 442231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686759104).
442231104 is an abundant number, since it is smaller than the sum of its proper divisors (931287104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442231104 is a wasteful number, since it uses less digits than its factorization.
442231104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8952 (or 8942 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 442231104 is about 21029.2915715199. The cubic root of 442231104 is about 761.8738984363.
Adding to 442231104 its reverse (401132244), we get a palindrome (843363348).
The spelling of 442231104 in words is "four hundred forty-two million, two hundred thirty-one thousand, one hundred four".
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