Base | Representation |
---|---|
bin | 11101100101011… |
… | …11111101001000 |
3 | 122022000002100000 |
4 | 32302233331020 |
5 | 1002013402043 |
6 | 40343243000 |
7 | 6102351255 |
oct | 1662577510 |
9 | 568002300 |
10 | 248184648 |
11 | 118103888 |
12 | 6b149460 |
13 | 3c55832a |
14 | 24d6642c |
15 | 16bc62d3 |
hex | ecaff48 |
248184648 has 96 divisors (see below), whose sum is σ = 713512800. Its totient is φ = 80777088.
The previous prime is 248184623. The next prime is 248184659. The reversal of 248184648 is 846481842.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82108 + ... + 85076.
It is an arithmetic number, because the mean of its divisors is an integer number (7432425).
Almost surely, 2248184648 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 248184648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356756400).
248184648 is an abundant number, since it is smaller than the sum of its proper divisors (465328152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248184648 is a wasteful number, since it uses less digits than its factorization.
248184648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3033 (or 3017 counting only the distinct ones).
The product of its digits is 393216, while the sum is 45.
The square root of 248184648 is about 15753.8772370487. The cubic root of 248184648 is about 628.4320191223.
It can be divided in two parts, 248184 and 648, that added together give a 5-th power (248832 = 125).
The spelling of 248184648 in words is "two hundred forty-eight million, one hundred eighty-four thousand, six hundred forty-eight".
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