Base | Representation |
---|---|
bin | 1111011101100… |
… | …1110100000000 |
3 | 11112000222202000 |
4 | 3313121310000 |
5 | 113100332141 |
6 | 10234024000 |
7 | 1415155332 |
oct | 367316400 |
9 | 145028660 |
10 | 64855296 |
11 | 33677820 |
12 | 19878000 |
13 | 10589c1c |
14 | 8883452 |
15 | 5a615b6 |
hex | 3dd9d00 |
64855296 has 144 divisors (see below), whose sum is σ = 209469120. Its totient is φ = 19630080.
The previous prime is 64855283. The next prime is 64855363. The reversal of 64855296 is 69255846.
64855296 is a `hidden beast` number, since 6 + 4 + 8 + 552 + 96 = 666.
64855296 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 congruent number.
It is an unprimeable number.
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, 75606 + ... + 76458.
Almost surely, 264855296 is an apocalyptic number.
64855296 is a gapful number since it is divisible by the number (66) 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 64855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104734560).
64855296 is an abundant number, since it is smaller than the sum of its proper divisors (144613824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64855296 is a wasteful number, since it uses less digits than its factorization.
64855296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 889 (or 869 counting only the distinct ones).
The product of its digits is 518400, while the sum is 45.
The square root of 64855296 is about 8053.2785870104. The cubic root of 64855296 is about 401.7739874571.
It can be divided in two parts, 6485 and 5296, that added together give a triangular number (11781 = T153).
The spelling of 64855296 in words is "sixty-four million, eight hundred fifty-five thousand, two hundred ninety-six".
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