Base | Representation |
---|---|
bin | 1111010000100… |
… | …1000100000000 |
3 | 11110102112211212 |
4 | 3310021010000 |
5 | 112341002011 |
6 | 10203425252 |
7 | 1404664445 |
oct | 364110400 |
9 | 143375755 |
10 | 64000256 |
11 | 33143381 |
12 | 19525228 |
13 | 1034a998 |
14 | 86dd9cc |
15 | 594308b |
hex | 3d09100 |
64000256 has 54 divisors (see below), whose sum is σ = 131669370. Its totient is φ = 31043584.
The previous prime is 64000249. The next prime is 64000273. The reversal of 64000256 is 65200046.
It can be written as a sum of positive squares in 3 ways, for example, as 12390400 + 51609856 = 3520^2 + 7184^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 719060 + ... + 719148.
Almost surely, 264000256 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 64000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65834685).
64000256 is an abundant number, since it is smaller than the sum of its proper divisors (67669114).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64000256 is an frugal number, since it uses more digits than its factorization.
64000256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 211 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 23.
The square root of 64000256 is about 8000.0159999840. The cubic root of 64000256 is about 400.0005333326. Note that the first 3 decimals are identical.
The spelling of 64000256 in words is "sixty-four million, two hundred fifty-six", and thus it is an aban number.
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