| Base | Representation |
|---|---|
| bin | 1011001010110… |
| … | …1100100111000 |
| 3 | 10021011010210200 |
| 4 | 2302231210320 |
| 5 | 43443121222 |
| 6 | 4352042200 |
| 7 | 1106130000 |
| oct | 262554470 |
| 9 | 107133720 |
| 10 | 46848312 |
| 11 | 24498915 |
| 12 | 13833360 |
| 13 | 99239c4 |
| 14 | 6317000 |
| 15 | 41a5eac |
| hex | 2cad938 |
46848312 has 120 divisors (see below), whose sum is σ = 148565040. Its totient is φ = 13335840.
The previous prime is 46848299. The next prime is 46848317. The reversal of 46848312 is 21384864.
46848312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (46848317) by changing a digit.
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 29 ways as a sum of consecutive naturals, for example, 172737 + ... + 173007.
It is an arithmetic number, because the mean of its divisors is an integer number (1238042).
Almost surely, 246848312 is an apocalyptic number.
46848312 is a gapful number since it is divisible by the number (42) 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 46848312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74282520).
46848312 is an abundant number, since it is smaller than the sum of its proper divisors (101716728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46848312 is a wasteful number, since it uses less digits than its factorization.
46848312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 311 (or 283 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 46848312 is about 6844.5826753718. The cubic root of 46848312 is about 360.4939515748.
It can be divided in two parts, 4684 and 8312, that added together give a square (12996 = 1142).
The spelling of 46848312 in words is "forty-six million, eight hundred forty-eight thousand, three hundred twelve".
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