| Base | Representation |
|---|---|
| bin | 1011100010011… |
| … | …0101101110000 |
| 3 | 10101001121211000 |
| 4 | 2320212231300 |
| 5 | 44342034242 |
| 6 | 4445122000 |
| 7 | 1125222450 |
| oct | 270465560 |
| 9 | 111047730 |
| 10 | 48393072 |
| 11 | 25353482 |
| 12 | 14259300 |
| 13 | a044b70 |
| 14 | 65d9d60 |
| 15 | 43ada4c |
| hex | 2e26b70 |
48393072 has 160 divisors (see below), whose sum is σ = 171100160. Its totient is φ = 12752640.
The previous prime is 48393071. The next prime is 48393073. The reversal of 48393072 is 27039384.
48393072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (48393071) and next prime (48393073).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48393071) 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 31 ways as a sum of consecutive naturals, for example, 38697 + ... + 39927.
It is an arithmetic number, because the mean of its divisors is an integer number (1069376).
Almost surely, 248393072 is an apocalyptic number.
48393072 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 48393072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85550080).
48393072 is an abundant number, since it is smaller than the sum of its proper divisors (122707088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48393072 is a wasteful number, since it uses less digits than its factorization.
48393072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 48393072 is about 6956.5129195596. The cubic root of 48393072 is about 364.4134496191.
The spelling of 48393072 in words is "forty-eight million, three hundred ninety-three thousand, seventy-two".
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