Base | Representation |
---|---|
bin | 11101100111100… |
… | …01100000000000 |
3 | 122022111201121102 |
4 | 32303301200000 |
5 | 1002100444440 |
6 | 40353113532 |
7 | 6104550056 |
oct | 1663614000 |
9 | 568451542 |
10 | 248453120 |
11 | 118277563 |
12 | 6b2588a8 |
13 | 3c6205a6 |
14 | 24dd61d6 |
15 | 16c2ab15 |
hex | ecf1800 |
248453120 has 96 divisors (see below), whose sum is σ = 628009200. Its totient is φ = 94076928.
The previous prime is 248453119. The next prime is 248453131. The reversal of 248453120 is 21354842.
It is a happy number.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193922 + ... + 195198.
Almost surely, 2248453120 is an apocalyptic number.
248453120 is a gapful number since it is divisible by the number (20) 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 248453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314004600).
248453120 is an abundant number, since it is smaller than the sum of its proper divisors (379556080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248453120 is a wasteful number, since it uses less digits than its factorization.
248453120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1323 (or 1303 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 29.
The square root of 248453120 is about 15762.3957569908. The cubic root of 248453120 is about 628.6585381046.
The spelling of 248453120 in words is "two hundred forty-eight million, four hundred fifty-three thousand, one hundred twenty".
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