Base | Representation |
---|---|
bin | 1011100111101… |
… | …11010100000000 |
3 | 20210102121010212 |
4 | 11303313110000 |
5 | 144423410414 |
6 | 13401213252 |
7 | 2262404015 |
oct | 563672400 |
9 | 223377125 |
10 | 97481984 |
11 | 50031726 |
12 | 28791228 |
13 | 17271662 |
14 | cd3770c |
15 | 885883e |
hex | 5cf7500 |
97481984 has 36 divisors (see below), whose sum is σ = 195690516. Its totient is φ = 48463872.
The previous prime is 97481957. The next prime is 97482001. The reversal of 97481984 is 48918479.
It can be written as a sum of positive squares in 2 ways, for example, as 22278400 + 75203584 = 4720^2 + 8672^2 .
It is a congruent number.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 48422 + ... + 50394.
Almost surely, 297481984 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 97481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97845258).
97481984 is an abundant number, since it is smaller than the sum of its proper divisors (98208532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97481984 is a wasteful number, since it uses less digits than its factorization.
97481984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2182 (or 2168 counting only the distinct ones).
The product of its digits is 580608, while the sum is 50.
The square root of 97481984 is about 9873.2965112975. The cubic root of 97481984 is about 460.2298536212.
The spelling of 97481984 in words is "ninety-seven million, four hundred eighty-one thousand, nine hundred eighty-four".
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