Base | Representation |
---|---|
bin | 1111010100011… |
… | …1010010000000 |
3 | 11110220111102200 |
4 | 3311013102000 |
5 | 112422130404 |
6 | 10213113200 |
7 | 1410105444 |
oct | 365072200 |
9 | 143814380 |
10 | 64255104 |
11 | 332a78a1 |
12 | 19628800 |
13 | 10409994 |
14 | 8768824 |
15 | 5993839 |
hex | 3d47480 |
64255104 has 144 divisors (see below), whose sum is σ = 197434770. Its totient is φ = 20054016.
The previous prime is 64255099. The next prime is 64255117. The reversal of 64255104 is 40155246.
64255104 is a `hidden beast` number, since 642 + 5 + 5 + 10 + 4 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 60840000 + 3415104 = 7800^2 + 1848^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332832 + ... + 333024.
Almost surely, 264255104 is an apocalyptic number.
64255104 is a gapful number since it is divisible by the number (64) 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 64255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98717385).
64255104 is an abundant number, since it is smaller than the sum of its proper divisors (133179666).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64255104 is a wasteful number, since it uses less digits than its factorization.
64255104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 215 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
The square root of 64255104 is about 8015.9281433905. The cubic root of 64255104 is about 400.5307620842.
The spelling of 64255104 in words is "sixty-four million, two hundred fifty-five thousand, one hundred four".
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