Base | Representation |
---|---|
bin | 111101001000111… |
… | …001110001100000 |
3 | 2122111010012012100 |
4 | 331020321301200 |
5 | 4100042301333 |
6 | 245441130400 |
7 | 34263452124 |
oct | 7510716140 |
9 | 2574105170 |
10 | 1025743968 |
11 | 487007697 |
12 | 247629a00 |
13 | 134681bc2 |
14 | 9a32d584 |
15 | 600b9213 |
hex | 3d239c60 |
1025743968 has 36 divisors (see below), whose sum is σ = 2916960228. Its totient is φ = 341914560.
The previous prime is 1025743919. The next prime is 1025743987. The reversal of 1025743968 is 8693475201.
1025743968 is a `hidden beast` number, since 1 + 0 + 257 + 4 + 396 + 8 = 666.
1025743968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
1025743968 is strictly pandigital in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1780518 + ... + 1781093.
It is an arithmetic number, because the mean of its divisors is an integer number (81026673).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1025743968 = 2051487936, but 3⋅1025743968 = 3077231904 is not.
Almost surely, 21025743968 is an apocalyptic number.
1025743968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1025743968 is an abundant number, since it is smaller than the sum of its proper divisors (1891216260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1025743968 is a wasteful number, since it uses less digits than its factorization.
1025743968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3561627 (or 3561616 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1025743968 is about 32027.2379077560. The cubic root of 1025743968 is about 1008.5087190282.
The spelling of 1025743968 in words is "one billion, twenty-five million, seven hundred forty-three thousand, nine hundred sixty-eight".
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