Base | Representation |
---|---|
bin | 11101100110011… |
… | …00111010000000 |
3 | 122022020010000000 |
4 | 32303030322000 |
5 | 1002031200412 |
6 | 40350000000 |
7 | 6103354062 |
oct | 1663147200 |
9 | 568203000 |
10 | 248303232 |
11 | 118184991 |
12 | 6b1a6000 |
13 | 3c59a2b8 |
14 | 24d97732 |
15 | 16beb4dc |
hex | eccce80 |
248303232 has 128 divisors (see below), whose sum is σ = 742723200. Its totient is φ = 82674432.
The previous prime is 248303203. The next prime is 248303287. The reversal of 248303232 is 232303842.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 248303196 and 248303205.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 279493 + ... + 280379.
It is an arithmetic number, because the mean of its divisors is an integer number (5802525).
Almost surely, 2248303232 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 248303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371361600).
248303232 is an abundant number, since it is smaller than the sum of its proper divisors (494419968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248303232 is an frugal number, since it uses more digits than its factorization.
248303232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 922 (or 892 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 248303232 is about 15757.6404325013. The cubic root of 248303232 is about 628.5320926191.
The spelling of 248303232 in words is "two hundred forty-eight million, three hundred three thousand, two hundred thirty-two".
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