| Base | Representation |
|---|---|
| bin | 110101010100011… |
| … | …001000100010000 |
| 3 | 2022100020020110001 |
| 4 | 311110121010100 |
| 5 | 3313000204000 |
| 6 | 224433015344 |
| 7 | 31111306336 |
| oct | 6524310420 |
| 9 | 2270206401 |
| 10 | 894538000 |
| 11 | 419a41704 |
| 12 | 20b6b4554 |
| 13 | 113433535 |
| 14 | 86b37b56 |
| 15 | 537ed46a |
| hex | 35519110 |
894538000 has 80 divisors (see below), whose sum is σ = 2215951920. Its totient is φ = 349056000.
The previous prime is 894537991. The next prime is 894538009. The reversal of 894538000 is 835498.
It is an interprime number because it is at equal distance from previous prime (894537991) and next prime (894538009).
It can be written as a sum of positive squares in 8 ways, for example, as 655155216 + 239382784 = 25596^2 + 15472^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (894538009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76546 + ... + 87454.
It is an arithmetic number, because the mean of its divisors is an integer number (27699399).
Almost surely, 2894538000 is an apocalyptic number.
894538000 is a gapful number since it is divisible by the number (80) 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 894538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107975960).
894538000 is an abundant number, since it is smaller than the sum of its proper divisors (1321413920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
894538000 is a wasteful number, since it uses less digits than its factorization.
894538000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10973 (or 10957 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 37.
The square root of 894538000 is about 29908.8281281631. The cubic root of 894538000 is about 963.5322708150.
The spelling of 894538000 in words is "eight hundred ninety-four million, five hundred thirty-eight thousand".
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