Base | Representation |
---|---|
bin | 11110100101101… |
… | …11000110100000 |
3 | 122212211202111100 |
4 | 33102313012200 |
5 | 1011142240103 |
6 | 41243514400 |
7 | 6234041220 |
oct | 1722670640 |
9 | 585752440 |
10 | 256602528 |
11 | 121933306 |
12 | 71b28a00 |
13 | 41214a20 |
14 | 26118080 |
15 | 177da5a3 |
hex | f4b71a0 |
256602528 has 144 divisors (see below), whose sum is σ = 898200576. Its totient is φ = 67668480.
The previous prime is 256602523. The next prime is 256602529. The reversal of 256602528 is 825206652.
256602528 is a `hidden beast` number, since 25 + 6 + 602 + 5 + 28 = 666.
256602528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 256602492 and 256602501.
It is not an unprimeable number, because it can be changed into a prime (256602523) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21313 + ... + 31103.
It is an arithmetic number, because the mean of its divisors is an integer number (6237504).
Almost surely, 2256602528 is an apocalyptic number.
256602528 is a gapful number since it is divisible by the number (28) 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 256602528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288).
256602528 is an abundant number, since it is smaller than the sum of its proper divisors (641598048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
256602528 is a wasteful number, since it uses less digits than its factorization.
256602528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9827 (or 9816 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The square root of 256602528 is about 16018.8179339176. The cubic root of 256602528 is about 635.4581833826.
The spelling of 256602528 in words is "two hundred fifty-six million, six hundred two thousand, five hundred twenty-eight".
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