Base | Representation |
---|---|
bin | 1011100000100… |
… | …1011000100000 |
3 | 10100211112000020 |
4 | 2320021120200 |
5 | 44324213203 |
6 | 4442353440 |
7 | 1124212254 |
oct | 270113040 |
9 | 110745006 |
10 | 48272928 |
11 | 25281190 |
12 | 141bb880 |
13 | a002282 |
14 | 65a8264 |
15 | 4388153 |
hex | 2e09620 |
48272928 has 96 divisors (see below), whose sum is σ = 146422080. Its totient is φ = 13762560.
The previous prime is 48272927. The next prime is 48272933. The reversal of 48272928 is 82927284.
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 48272928.
It is not an unprimeable number, because it can be changed into a prime (48272927) 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, 16608 + ... + 19296.
It is an arithmetic number, because the mean of its divisors is an integer number (1525230).
Almost surely, 248272928 is an apocalyptic number.
48272928 is a gapful number since it is divisible by the number (48) 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 48272928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211040).
48272928 is an abundant number, since it is smaller than the sum of its proper divisors (98149152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48272928 is a wasteful number, since it uses less digits than its factorization.
48272928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).
The product of its digits is 129024, while the sum is 42.
The square root of 48272928 is about 6947.8721922615. The cubic root of 48272928 is about 364.1116269967. Note that the first 3 decimals are identical.
The spelling of 48272928 in words is "forty-eight million, two hundred seventy-two thousand, nine hundred twenty-eight".
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