Base | Representation |
---|---|
bin | 111111111001101… |
… | …010000000000000 |
3 | 2202201022020201000 |
4 | 333321222000000 |
5 | 4143423010343 |
6 | 254214212000 |
7 | 35365343211 |
oct | 7771520000 |
9 | 2681266630 |
10 | 1072078848 |
11 | 500184785 |
12 | 25b054000 |
13 | 141155ca9 |
14 | a2551408 |
15 | 641bced3 |
hex | 3fe6a000 |
1072078848 has 224 divisors, whose sum is σ = 3287085120. Its totient is φ = 345047040.
The previous prime is 1072078831. The next prime is 1072078849. The reversal of 1072078848 is 8488702701.
It is a super-2 number, since 2×10720788482 = 2298706112658014208, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1072078849) by changing a digit.
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, 8183743 + ... + 8183873.
Almost surely, 21072078848 is an apocalyptic number.
1072078848 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 1072078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643542560).
1072078848 is an abundant number, since it is smaller than the sum of its proper divisors (2215006272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072078848 is an equidigital number, since it uses as much as digits as its factorization.
1072078848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 203 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 200704, while the sum is 45.
The square root of 1072078848 is about 32742.6151673931. The cubic root of 1072078848 is about 1023.4710810152.
The spelling of 1072078848 in words is "one billion, seventy-two million, seventy-eight thousand, eight hundred forty-eight".
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