Base | Representation |
---|---|
bin | 1000101000000111… |
… | …00111010011100000 |
3 | 102221202220111102000 |
4 | 10110003213103200 |
5 | 33441123142130 |
6 | 2043324124000 |
7 | 222525516015 |
oct | 42403472340 |
9 | 12852814360 |
10 | 4631459040 |
11 | 1a673797aa |
12 | a93096600 |
13 | 58a6b3410 |
14 | 31d16970c |
15 | 1c1909260 |
hex | 1140e74e0 |
4631459040 has 192 divisors, whose sum is σ = 17457249600. Its totient is φ = 1140037632.
The previous prime is 4631458967. The next prime is 4631459047. The reversal of 4631459040 is 409541364.
4631459040 is a `hidden beast` number, since 4 + 63 + 1 + 4 + 590 + 4 + 0 = 666.
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 = 4631458986 and 4631459004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4631459047) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 14926 + ... + 97394.
It is an arithmetic number, because the mean of its divisors is an integer number (90923175).
Almost surely, 24631459040 is an apocalyptic number.
4631459040 is a gapful number since it is divisible by the number (40) 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 4631459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728624800).
4631459040 is an abundant number, since it is smaller than the sum of its proper divisors (12825790560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4631459040 is a wasteful number, since it uses less digits than its factorization.
4631459040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82506 (or 82492 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 4631459040 is about 68054.8237820068. The cubic root of 4631459040 is about 1666.8861670016.
The spelling of 4631459040 in words is "four billion, six hundred thirty-one million, four hundred fifty-nine thousand, forty".
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