Base | Representation |
---|---|
bin | 11010011001110… |
… | …010110101000000 |
3 | 1010212112011210101 |
4 | 122121302311000 |
5 | 1401400010113 |
6 | 111542212144 |
7 | 13656115000 |
oct | 3231626500 |
9 | 1125464711 |
10 | 442969408 |
11 | 208054522 |
12 | 104424054 |
13 | 70a0789b |
14 | 42b8c000 |
15 | 28d502dd |
hex | 1a672d40 |
442969408 has 112 divisors (see below), whose sum is σ = 1086307200. Its totient is φ = 178526208.
The previous prime is 442969381. The next prime is 442969409. The reversal of 442969408 is 804969244.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (442969409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372591 + ... + 373777.
Almost surely, 2442969408 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 442969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543153600).
442969408 is an abundant number, since it is smaller than the sum of its proper divisors (643337792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442969408 is a wasteful number, since it uses less digits than its factorization.
442969408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1237 (or 1213 counting only the distinct ones).
The product of its (nonzero) digits is 497664, while the sum is 46.
The square root of 442969408 is about 21046.8384324107. The cubic root of 442969408 is about 762.2976450579.
It can be divided in two parts, 4429 and 69408, that added together give a palindrome (73837).
The spelling of 442969408 in words is "four hundred forty-two million, nine hundred sixty-nine thousand, four hundred eight".
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