Base | Representation |
---|---|
bin | 1011011101111… |
… | …10001010000000 |
3 | 20201000102121220 |
4 | 11232332022000 |
5 | 144111334141 |
6 | 13313515040 |
7 | 2245452264 |
oct | 556761200 |
9 | 221012556 |
10 | 96199296 |
11 | 4a335a56 |
12 | 28272a80 |
13 | 16c1287b |
14 | cac20a4 |
15 | 86a3766 |
hex | 5bbe280 |
96199296 has 64 divisors (see below), whose sum is σ = 256591200. Its totient is φ = 31933440.
The previous prime is 96199291. The next prime is 96199319. The reversal of 96199296 is 69299169.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (96199291) 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 7 ways as a sum of consecutive naturals, for example, 145206 + ... + 145866.
Almost surely, 296199296 is an apocalyptic number.
96199296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 96199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128295600).
96199296 is an abundant number, since it is smaller than the sum of its proper divisors (160391904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96199296 is a wasteful number, since it uses less digits than its factorization.
96199296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).
The product of its digits is 472392, while the sum is 51.
The square root of 96199296 is about 9808.1239796406. The cubic root of 96199296 is about 458.2023349112.
It can be divided in two parts, 9619 and 9296, that added together give a triangular number (18915 = T194).
The spelling of 96199296 in words is "ninety-six million, one hundred ninety-nine thousand, two hundred ninety-six".
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