| Base | Representation |
|---|---|
| bin | 111111000011010… |
| … | …010010011100000 |
| 3 | 2201201111010111100 |
| 4 | 333003102103200 |
| 5 | 4131300413031 |
| 6 | 252544514400 |
| 7 | 35133241602 |
| oct | 7703222340 |
| 9 | 2651433440 |
| 10 | 1057826016 |
| 11 | 4a312a385 |
| 12 | 25631ba00 |
| 13 | 13b205770 |
| 14 | a06c1172 |
| 15 | 62d04de6 |
| hex | 3f0d24e0 |
1057826016 has 144 divisors (see below), whose sum is σ = 3288723984. Its totient is φ = 320550912.
The previous prime is 1057825987. The next prime is 1057826023. The reversal of 1057826016 is 6106287501.
1057826016 is a `hidden beast` number, since 10 + 578 + 2 + 60 + 16 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×10578260162 = 2237991760252864512, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248740 + ... + 252956.
It is an arithmetic number, because the mean of its divisors is an integer number (22838361).
Almost surely, 21057826016 is an apocalyptic number.
1057826016 is a gapful number since it is divisible by the number (16) 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 1057826016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644361992).
1057826016 is an abundant number, since it is smaller than the sum of its proper divisors (2230897968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057826016 is a wasteful number, since it uses less digits than its factorization.
1057826016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4313 (or 4302 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 1057826016 is about 32524.2373623118. The cubic root of 1057826016 is about 1018.9152944132.
The spelling of 1057826016 in words is "one billion, fifty-seven million, eight hundred twenty-six thousand, sixteen".
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