Base | Representation |
---|---|
bin | 1011011110010… |
… | …1110100010000 |
3 | 10100120010011200 |
4 | 2313211310100 |
5 | 44310032443 |
6 | 4435311200 |
7 | 1123034451 |
oct | 267456420 |
9 | 110503150 |
10 | 48127248 |
11 | 25191794 |
12 | 1414b500 |
13 | 9c80b80 |
14 | 656b128 |
15 | 4359dd3 |
hex | 2de5d10 |
48127248 has 120 divisors (see below), whose sum is σ = 148407168. Its totient is φ = 14466816.
The previous prime is 48127241. The next prime is 48127249. The reversal of 48127248 is 84272184.
48127248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×481272483 (a number of 24 digits) contains 333 as substring.
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 not an unprimeable number, because it can be changed into a prime (48127241) 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 23 ways as a sum of consecutive naturals, for example, 87711 + ... + 88257.
Almost surely, 248127248 is an apocalyptic number.
48127248 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 48127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74203584).
48127248 is an abundant number, since it is smaller than the sum of its proper divisors (100279920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48127248 is a wasteful number, since it uses less digits than its factorization.
48127248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 621 (or 612 counting only the distinct ones).
The product of its digits is 28672, while the sum is 36.
The square root of 48127248 is about 6937.3804854570. The cubic root of 48127248 is about 363.7449809773.
The spelling of 48127248 in words is "forty-eight million, one hundred twenty-seven thousand, two hundred forty-eight".
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