| Base | Representation |
|---|---|
| bin | 110010110101100… |
| … | …011000011010000 |
| 3 | 2012102212201002211 |
| 4 | 302311203003100 |
| 5 | 3221320214000 |
| 6 | 220344321504 |
| 7 | 30064341043 |
| oct | 6265430320 |
| 9 | 2172781084 |
| 10 | 852898000 |
| 11 | 3a8490989 |
| 12 | 1b9773294 |
| 13 | 107914396 |
| 14 | 813b8c5a |
| 15 | 4ed257ba |
| hex | 32d630d0 |
852898000 has 80 divisors (see below), whose sum is σ = 2071742400. Its totient is φ = 339600000.
The previous prime is 852897977. The next prime is 852898003. The reversal of 852898000 is 898258.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (40) 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 (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (852898003) 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, 501151 + ... + 502849.
It is an arithmetic number, because the mean of its divisors is an integer number (25896780).
Almost surely, 2852898000 is an apocalyptic number.
852898000 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 852898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035871200).
852898000 is an abundant number, since it is smaller than the sum of its proper divisors (1218844400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
852898000 is a wasteful number, since it uses less digits than its factorization.
852898000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1973 (or 1957 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 40.
The square root of 852898000 is about 29204.4174740740. The cubic root of 852898000 is about 948.3435585299.
The spelling of 852898000 in words is "eight hundred fifty-two million, eight hundred ninety-eight thousand".
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