| Base | Representation |
|---|---|
| bin | 1010111000100… |
| … | …00100000000000 |
| 3 | 20100210012102000 |
| 4 | 11130100200000 |
| 5 | 141332344241 |
| 6 | 13020424000 |
| 7 | 2155661244 |
| oct | 534204000 |
| 9 | 210705360 |
| 10 | 91293696 |
| 11 | 4759533a |
| 12 | 266a8000 |
| 13 | 15bb5a50 |
| 14 | c1a6424 |
| 15 | 8034eb6 |
| hex | 5710800 |
91293696 has 192 divisors, whose sum is σ = 293529600. Its totient is φ = 27869184.
The previous prime is 91293691. The next prime is 91293701. The reversal of 91293696 is 69639219.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (91293691) and next prime (91293701).
It is a tau number, because it is divible by the number of its divisors (192).
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 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 (91293691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718785 + ... + 718911.
It is an arithmetic number, because the mean of its divisors is an integer number (1528800).
Almost surely, 291293696 is an apocalyptic number.
91293696 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 91293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).
91293696 is an abundant number, since it is smaller than the sum of its proper divisors (202235904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91293696 is a wasteful number, since it uses less digits than its factorization.
91293696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 145 counting only the distinct ones).
The product of its digits is 157464, while the sum is 45.
The square root of 91293696 is about 9554.7734667024. The cubic root of 91293696 is about 450.2775177069.
The spelling of 91293696 in words is "ninety-one million, two hundred ninety-three thousand, six hundred ninety-six".
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