| Base | Representation |
|---|---|
| bin | 111110110111111… |
| … | …111101000100000 |
| 3 | 2201111220202001100 |
| 4 | 332313333220200 |
| 5 | 4130021202302 |
| 6 | 252401234400 |
| 7 | 35066132640 |
| oct | 7667775040 |
| 9 | 2644822040 |
| 10 | 1054865952 |
| 11 | 4a1498448 |
| 12 | 255332a00 |
| 13 | 13a70a34a |
| 14 | a0150520 |
| 15 | 6291cd1c |
| hex | 3edffa20 |
1054865952 has 144 divisors (see below), whose sum is σ = 3546728640. Its totient is φ = 290981376.
The previous prime is 1054865939. The next prime is 1054865969. The reversal of 1054865952 is 2595684501.
1054865952 is a `hidden beast` number, since 1 + 0 + 54 + 8 + 6 + 595 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×10548659522 = 2225484353377732608, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1054865898 and 1054865907.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49443 + ... + 67485.
It is an arithmetic number, because the mean of its divisors is an integer number (24630060).
Almost surely, 21054865952 is an apocalyptic number.
1054865952 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 1054865952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773364320).
1054865952 is an abundant number, since it is smaller than the sum of its proper divisors (2491862688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1054865952 is a wasteful number, since it uses less digits than its factorization.
1054865952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18095 (or 18084 counting only the distinct ones).
The product of its (nonzero) digits is 432000, while the sum is 45.
The square root of 1054865952 is about 32478.6999739829. The cubic root of 1054865952 is about 1017.9640125562.
The spelling of 1054865952 in words is "one billion, fifty-four million, eight hundred sixty-five thousand, nine hundred fifty-two".
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