Base | Representation |
---|---|
bin | 1011101011101… |
… | …0111000110000 |
3 | 10102012110100020 |
4 | 2322322320300 |
5 | 100020444414 |
6 | 4510123440 |
7 | 1133331045 |
oct | 272727060 |
9 | 112173306 |
10 | 48999984 |
11 | 25728460 |
12 | 144b0580 |
13 | a1c8197 |
14 | 67171cc |
15 | 447d7a9 |
hex | 2ebae30 |
48999984 has 160 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 13578240.
The previous prime is 48999983. The next prime is 48999989.
48999984 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (48999983) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475677 + ... + 475779.
Almost surely, 248999984 is an apocalyptic number.
48999984 is a gapful number since it is divisible by the number (44) 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 48999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).
48999984 is an abundant number, since it is smaller than the sum of its proper divisors (101418960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48999984 is a wasteful number, since it uses less digits than its factorization.
48999984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 189 counting only the distinct ones).
The product of its digits is 6718464, while the sum is 60.
The square root of 48999984 is about 6999.9988571428. The cubic root of 48999984 is about 365.9305311731.
The spelling of 48999984 in words is "forty-eight million, nine hundred ninety-nine thousand, nine hundred eighty-four".
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