Base | Representation |
---|---|
bin | 10001000001111… |
… | …001000110000000 |
3 | 201220121111121200 |
4 | 101001321012000 |
5 | 1041120134142 |
6 | 44203421200 |
7 | 10036324614 |
oct | 2101710600 |
9 | 656544550 |
10 | 285708672 |
11 | 137303177 |
12 | 7b824800 |
13 | 47265bb2 |
14 | 29d33344 |
15 | 1a13964c |
hex | 11079180 |
285708672 has 96 divisors (see below), whose sum is σ = 844502880. Its totient is φ = 92648448.
The previous prime is 285708671. The next prime is 285708677. The reversal of 285708672 is 276807582.
285708672 is a `hidden beast` number, since 2 + 8 + 570 + 8 + 6 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (285708671) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39273 + ... + 45975.
It is an arithmetic number, because the mean of its divisors is an integer number (8796905).
Almost surely, 2285708672 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 285708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422251440).
285708672 is an abundant number, since it is smaller than the sum of its proper divisors (558794208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285708672 is a wasteful number, since it uses less digits than its factorization.
285708672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6760 (or 6745 counting only the distinct ones).
The product of its (nonzero) digits is 376320, while the sum is 45.
The square root of 285708672 is about 16902.9190378467. The cubic root of 285708672 is about 658.6294423681.
The spelling of 285708672 in words is "two hundred eighty-five million, seven hundred eight thousand, six hundred seventy-two".
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