Base | Representation |
---|---|
bin | 11010010111110… |
… | …010111011101101 |
3 | 1010211112120012012 |
4 | 122113302323231 |
5 | 1401231224144 |
6 | 111523051005 |
7 | 13651503500 |
oct | 3227627355 |
9 | 1124476165 |
10 | 442445549 |
11 | 207826987 |
12 | 104210a65 |
13 | 70883300 |
14 | 42a93137 |
15 | 28c99e9e |
hex | 1a5f2eed |
442445549 has 54 divisors (see below), whose sum is σ = 588370986. Its totient is φ = 331531200.
The previous prime is 442445539. The next prime is 442445561. The reversal of 442445549 is 945544244.
It can be written as a sum of positive squares in 3 ways, for example, as 37429924 + 405015625 = 6118^2 + 20125^2 .
It is not a de Polignac number, because 442445549 - 28 = 442445293 is a prime.
It is a super-2 number, since 2×4424455492 = 391516127659822802, which contains 22 as substring.
Its product of digits (460800) is a multiple of the sum of its prime divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (442445539) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4380599 + ... + 4380699.
It is an arithmetic number, because the mean of its divisors is an integer number (10895759).
Almost surely, 2442445549 is an apocalyptic number.
442445549 is a gapful number since it is divisible by the number (49) formed by its first and last digit.
It is an amenable number.
442445549 is a deficient number, since it is larger than the sum of its proper divisors (145925437).
442445549 is a wasteful number, since it uses less digits than its factorization.
442445549 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187 (or 144 counting only the distinct ones).
The product of its digits is 460800, while the sum is 41.
The square root of 442445549 is about 21034.3896750060. The cubic root of 442445549 is about 761.9970268528.
The spelling of 442445549 in words is "four hundred forty-two million, four hundred forty-five thousand, five hundred forty-nine".
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