Base | Representation |
---|---|
bin | 100111111011111010… |
… | …000010010001001110 |
3 | 11002200110011112020200 |
4 | 213323322002101032 |
5 | 1200310014004101 |
6 | 31411012354330 |
7 | 3045426330150 |
oct | 477372022116 |
9 | 132613145220 |
10 | 42881000526 |
11 | 17205230411 |
12 | 83889159a6 |
13 | 4074c003c0 |
14 | 210b078ad0 |
15 | 11ae8c1986 |
hex | 9fbe8244e |
42881000526 has 96 divisors (see below), whose sum is σ = 114405957120. Its totient is φ = 11303675712.
The previous prime is 42881000509. The next prime is 42881000531. The reversal of 42881000526 is 62500018824.
42881000526 is a `hidden beast` number, since 4 + 28 + 8 + 100 + 0 + 526 = 666.
42881000526 is a nontrivial binomial coefficient, being equal to C(292852, 2).
It is a super-2 number, since 2×428810005262 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4094685 + ... + 4105143.
It is an arithmetic number, because the mean of its divisors is an integer number (1191728720).
Almost surely, 242881000526 is an apocalyptic number.
42881000526 is the 292851-st triangular number and also the 146426-th hexagonal number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42881000526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57202978560).
42881000526 is an abundant number, since it is smaller than the sum of its proper divisors (71524956594).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42881000526 is a wasteful number, since it uses less digits than its factorization.
42881000526 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12990 (or 12987 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The spelling of 42881000526 in words is "forty-two billion, eight hundred eighty-one million, five hundred twenty-six", and thus it is an aban number.
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