Base | Representation |
---|---|
bin | 111010111101111… |
… | …111111111010000 |
3 | 2112221121020120000 |
4 | 322331333333100 |
5 | 4011232101113 |
6 | 242100450000 |
7 | 33342115062 |
oct | 7275777720 |
9 | 2487536500 |
10 | 989331408 |
11 | 4684a736a |
12 | 2373a9900 |
13 | 129c73200 |
14 | 95571732 |
15 | 5bcc5373 |
hex | 3af7ffd0 |
989331408 has 150 divisors (see below), whose sum is σ = 3101304294. Its totient is φ = 304342272.
The previous prime is 989331403. The next prime is 989331451. The reversal of 989331408 is 804133989.
It can be written as a sum of positive squares in 3 ways, for example, as 122146704 + 867184704 = 11052^2 + 29448^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (989331403) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 216766 + ... + 221282.
Almost surely, 2989331408 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 989331408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550652147).
989331408 is an abundant number, since it is smaller than the sum of its proper divisors (2111972886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
989331408 is a wasteful number, since it uses less digits than its factorization.
989331408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4563 (or 4535 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 45.
The square root of 989331408 is about 31453.6390263511. The cubic root of 989331408 is about 996.4310806339.
The spelling of 989331408 in words is "nine hundred eighty-nine million, three hundred thirty-one thousand, four hundred eight".
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