| Base | Representation |
|---|---|
| bin | 111111000001111… |
| … | …000111010100000 |
| 3 | 2201200210112020110 |
| 4 | 333001320322200 |
| 5 | 4131202203442 |
| 6 | 252533011320 |
| 7 | 35130155250 |
| oct | 7701707240 |
| 9 | 2650715213 |
| 10 | 1057459872 |
| 11 | 4a29aa287 |
| 12 | 256183b40 |
| 13 | 13b107c01 |
| 14 | a0627960 |
| 15 | 62c8169c |
| hex | 3f078ea0 |
1057459872 has 96 divisors (see below), whose sum is σ = 3212697600. Its totient is φ = 298291968.
The previous prime is 1057459859. The next prime is 1057459873. The reversal of 1057459872 is 2789547501.
1057459872 is digitally balanced in base 2, 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 (96).
It is a super-2 number, since 2×10574598722 = 2236442761780512768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (1057459873) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43129 + ... + 63047.
It is an arithmetic number, because the mean of its divisors is an integer number (33465600).
Almost surely, 21057459872 is an apocalyptic number.
1057459872 is a gapful number since it is divisible by the number (12) 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 1057459872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606348800).
1057459872 is an abundant number, since it is smaller than the sum of its proper divisors (2155237728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057459872 is a wasteful number, since it uses less digits than its factorization.
1057459872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20018 (or 20010 counting only the distinct ones).
The product of its (nonzero) digits is 705600, while the sum is 48.
The square root of 1057459872 is about 32518.6080882931. The cubic root of 1057459872 is about 1018.7977222203.
The spelling of 1057459872 in words is "one billion, fifty-seven million, four hundred fifty-nine thousand, eight hundred seventy-two".
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