Base | Representation |
---|---|
bin | 111011000000001… |
… | …010100011101000 |
3 | 2112222200002010100 |
4 | 323000022203220 |
5 | 4011403231414 |
6 | 242120545400 |
7 | 33350000604 |
oct | 7300124350 |
9 | 2488602110 |
10 | 989898984 |
11 | 468854838 |
12 | 237622260 |
13 | 12a111659 |
14 | 9567c504 |
15 | 5bd88609 |
hex | 3b00a8e8 |
989898984 has 144 divisors (see below), whose sum is σ = 2879985420. Its totient is φ = 307077120.
The previous prime is 989898983. The next prime is 989898989. The reversal of 989898984 is 489898989.
It can be written as a sum of positive squares in 6 ways, for example, as 147622500 + 842276484 = 12150^2 + 29022^2 .
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (989898983) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2351094 + ... + 2351514.
Almost surely, 2989898984 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 989898984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439992710).
989898984 is an abundant number, since it is smaller than the sum of its proper divisors (1890086436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
989898984 is a wasteful number, since it uses less digits than its factorization.
989898984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 580 (or 556 counting only the distinct ones).
The product of its digits is 107495424, while the sum is 72.
The square root of 989898984 is about 31462.6601545387. The cubic root of 989898984 is about 996.6215938921.
The spelling of 989898984 in words is "nine hundred eighty-nine million, eight hundred ninety-eight thousand, nine hundred eighty-four".
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