Base | Representation |
---|---|
bin | 11101100100010… |
… | …01001011000000 |
3 | 122021201000102110 |
4 | 32302021023000 |
5 | 1001443311132 |
6 | 40340015320 |
7 | 6101120160 |
oct | 1662111300 |
9 | 567630373 |
10 | 248025792 |
11 | 1180054a3 |
12 | 6b091540 |
13 | 3c500c31 |
14 | 24d245a0 |
15 | 16b941cc |
hex | ec892c0 |
248025792 has 112 divisors (see below), whose sum is σ = 774305792. Its totient is φ = 68567040.
The previous prime is 248025773. The next prime is 248025803. The reversal of 248025792 is 297520842.
It is a tau number, because it is divible by the number of its divisors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 248025792.
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 15 ways as a sum of consecutive naturals, for example, 38688 + ... + 44640.
Almost surely, 2248025792 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 248025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387152896).
248025792 is an abundant number, since it is smaller than the sum of its proper divisors (526280000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248025792 is a wasteful number, since it uses less digits than its factorization.
248025792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6006 (or 5996 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 39.
The square root of 248025792 is about 15748.8346235523. The cubic root of 248025792 is about 628.2979099625.
The spelling of 248025792 in words is "two hundred forty-eight million, twenty-five thousand, seven hundred ninety-two".
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