| Base | Representation |
|---|---|
| bin | 100101001101000… |
| … | …1110010000100000 |
| 3 | 10020000001200120100 |
| 4 | 1022122032100200 |
| 5 | 10024041410003 |
| 6 | 323513142400 |
| 7 | 42636060351 |
| oct | 11232162040 |
| 9 | 3200050510 |
| 10 | 1248388128 |
| 11 | 590756529 |
| 12 | 2aa0baa00 |
| 13 | 16b837000 |
| 14 | bbb27d28 |
| 15 | 748e7ba3 |
| hex | 4a68e420 |
1248388128 has 144 divisors (see below), whose sum is σ = 3847760280. Its totient is φ = 383924736.
The previous prime is 1248388087. The next prime is 1248388133. The reversal of 1248388128 is 8218838421.
It is a happy number.
1248388128 is a `hidden beast` number, since 1 + 248 + 388 + 1 + 28 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 1245525264 = 1692^2 + 35292^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631750 + ... + 633722.
Almost surely, 21248388128 is an apocalyptic number.
1248388128 is a gapful number since it is divisible by the number (18) 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 1248388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923880140).
1248388128 is an abundant number, since it is smaller than the sum of its proper divisors (2599372152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1248388128 is a wasteful number, since it uses less digits than its factorization.
1248388128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2028 (or 1991 counting only the distinct ones).
The product of its digits is 196608, while the sum is 45.
The square root of 1248388128 is about 35332.5363935283. The cubic root of 1248388128 is about 1076.7541227905.
It can be divided in two parts, 1248 and 388128, that added together give a square (389376 = 6242).
The spelling of 1248388128 in words is "one billion, two hundred forty-eight million, three hundred eighty-eight thousand, one hundred twenty-eight".
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