| Base | Representation |
|---|---|
| bin | 1011011101101… |
| … | …0110001010000 |
| 3 | 10100110211002211 |
| 4 | 2313122301100 |
| 5 | 44302111000 |
| 6 | 4434321504 |
| 7 | 1122455521 |
| oct | 267326120 |
| 9 | 110424084 |
| 10 | 48082000 |
| 11 | 2516079a |
| 12 | 14129294 |
| 13 | 9c663b5 |
| 14 | 6558848 |
| 15 | 434b7ba |
| hex | 2ddac50 |
48082000 has 80 divisors (see below), whose sum is σ = 120416400. Its totient is φ = 18547200.
The previous prime is 48081977. The next prime is 48082019. The reversal of 48082000 is 28084.
48082000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 13366336 + 34715664 = 3656^2 + 5892^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×480820003 (a number of 24 digits) contains 333 as substring.
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 15 ways as a sum of consecutive naturals, for example, 57586 + ... + 58414.
It is an arithmetic number, because the mean of its divisors is an integer number (1505205).
Almost surely, 248082000 is an apocalyptic number.
48082000 is a gapful number since it is divisible by the number (40) 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 48082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60208200).
48082000 is an abundant number, since it is smaller than the sum of its proper divisors (72334400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48082000 is a wasteful number, since it uses less digits than its factorization.
48082000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 881 (or 865 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
The square root of 48082000 is about 6934.1185452803. The cubic root of 48082000 is about 363.6309506770.
The spelling of 48082000 in words is "forty-eight million, eighty-two thousand".
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