| Base | Representation |
|---|---|
| bin | 1011100001011… |
| … | …0000101100000 |
| 3 | 10100221011101100 |
| 4 | 2320112011200 |
| 5 | 44332344320 |
| 6 | 4443434400 |
| 7 | 1124520045 |
| oct | 270260540 |
| 9 | 110834340 |
| 10 | 48324960 |
| 11 | 25307292 |
| 12 | 14225a00 |
| 13 | a01cb68 |
| 14 | 65bd1cc |
| 15 | 4398790 |
| hex | 2e16160 |
48324960 has 144 divisors (see below), whose sum is σ = 169552656. Its totient is φ = 12524544.
The previous prime is 48324959. The next prime is 48324967. The reversal of 48324960 is 6942384.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (48324967) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52827 + ... + 53733.
It is an arithmetic number, because the mean of its divisors is an integer number (1177449).
Almost surely, 248324960 is an apocalyptic number.
48324960 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 48324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84776328).
48324960 is an abundant number, since it is smaller than the sum of its proper divisors (121227696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48324960 is a wasteful number, since it uses less digits than its factorization.
48324960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 965 (or 954 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 48324960 is about 6951.6156395474. The cubic root of 48324960 is about 364.2424018368.
It can be divided in two parts, 48324 and 960, that added together give a square (49284 = 2222).
The spelling of 48324960 in words is "forty-eight million, three hundred twenty-four thousand, nine hundred sixty".
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