| Base | Representation |
|---|---|
| bin | 1011100001011… |
| … | …1101000100000 |
| 3 | 10100221111002000 |
| 4 | 2320113220200 |
| 5 | 44333100141 |
| 6 | 4443524000 |
| 7 | 1124544366 |
| oct | 270275040 |
| 9 | 110844060 |
| 10 | 48331296 |
| 11 | 25311022 |
| 12 | 14229600 |
| 13 | a022a00 |
| 14 | 65c1636 |
| 15 | 439a5b6 |
| hex | 2e17a20 |
48331296 has 144 divisors (see below), whose sum is σ = 153105120. Its totient is φ = 14826240.
The previous prime is 48331291. The next prime is 48331301. The reversal of 48331296 is 69213384.
It is an interprime number because it is at equal distance from previous prime (48331291) and next prime (48331301).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 48331296.
It is not an unprimeable number, because it can be changed into a prime (48331291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145851 + ... + 146181.
It is an arithmetic number, because the mean of its divisors is an integer number (1063230).
Almost surely, 248331296 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 48331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76552560).
48331296 is an abundant number, since it is smaller than the sum of its proper divisors (104773824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48331296 is a wasteful number, since it uses less digits than its factorization.
48331296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 376 (or 349 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 48331296 is about 6952.0713460090. The cubic root of 48331296 is about 364.2583200359.
The spelling of 48331296 in words is "forty-eight million, three hundred thirty-one thousand, two hundred ninety-six".
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