| Base | Representation |
|---|---|
| bin | 1010001011111… |
| … | …11011010000000 |
| 3 | 12221210122022000 |
| 4 | 11011333122000 |
| 5 | 133334102022 |
| 6 | 12251344000 |
| 7 | 2055240231 |
| oct | 505773200 |
| 9 | 187718260 |
| 10 | 85456512 |
| 11 | 44268819 |
| 12 | 24752000 |
| 13 | 14920bab |
| 14 | b4c7088 |
| 15 | 77806ac |
| hex | 517f680 |
85456512 has 128 divisors (see below), whose sum is σ = 256224000. Its totient is φ = 28035072.
The previous prime is 85456507. The next prime is 85456517. The reversal of 85456512 is 21565458.
85456512 is a `hidden beast` number, since 85 + 4 + 565 + 12 = 666.
It is an interprime number because it is at equal distance from previous prime (85456507) and next prime (85456517).
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×854565122 = 14605630886412288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (85456517) 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, 272868 + ... + 273180.
It is an arithmetic number, because the mean of its divisors is an integer number (2001750).
Almost surely, 285456512 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128112000).
85456512 is an abundant number, since it is smaller than the sum of its proper divisors (170767488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85456512 is a wasteful number, since it uses less digits than its factorization.
85456512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 415 (or 397 counting only the distinct ones).
The product of its digits is 48000, while the sum is 36.
The square root of 85456512 is about 9244.2691436370. The cubic root of 85456512 is about 440.4687016491.
The spelling of 85456512 in words is "eighty-five million, four hundred fifty-six thousand, five hundred twelve".
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