Base | Representation |
---|---|
bin | 1011011111111… |
… | …1101001000000 |
3 | 10100202111021022 |
4 | 2313333221000 |
5 | 44321424044 |
6 | 4441445012 |
7 | 1123655030 |
oct | 267775100 |
9 | 110674238 |
10 | 48233024 |
11 | 25254204 |
12 | 141a0768 |
13 | 9cba068 |
14 | 65978c0 |
15 | 437b3ee |
hex | 2dffa40 |
48233024 has 112 divisors (see below), whose sum is σ = 118603776. Its totient is φ = 19008000.
The previous prime is 48233011. The next prime is 48233027. The reversal of 48233024 is 42033284.
It is a Cunningham number, because it is equal to 69452-1.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-4 number, since 4×482330244 (a number of 32 digits) contains 4444 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 48232984 and 48233002.
It is not an unprimeable number, because it can be changed into a prime (48233027) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319349 + ... + 319499.
Almost surely, 248233024 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 48233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59301888).
48233024 is an abundant number, since it is smaller than the sum of its proper divisors (70370752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48233024 is a wasteful number, since it uses less digits than its factorization.
48233024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 224 (or 214 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 26.
The square root of 48233024 is about 6944.9999280058. Note that the first 4 decimals coincide. The cubic root of 48233024 is about 364.0112704315.
The spelling of 48233024 in words is "forty-eight million, two hundred thirty-three thousand, twenty-four".
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