Base | Representation |
---|---|
bin | 1110010101011111… |
… | …1101001111100000 |
3 | 100221012011222220100 |
4 | 3211113331033200 |
5 | 30340123400444 |
6 | 1433505342400 |
7 | 164235456363 |
oct | 34527751740 |
9 | 10835158810 |
10 | 3848262624 |
11 | 16a5275738 |
12 | 8b4937a00 |
13 | 494364a9b |
14 | 2871360da |
15 | 177ca0e69 |
hex | e55fd3e0 |
3848262624 has 144 divisors (see below), whose sum is σ = 11573138304. Its totient is φ = 1210982400.
The previous prime is 3848262623. The next prime is 3848262629. The reversal of 3848262624 is 4262628483.
3848262624 is a `hidden beast` number, since 384 + 8 + 2 + 6 + 262 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 3848262624.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3848262623) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 360792 + ... + 371304.
It is an arithmetic number, because the mean of its divisors is an integer number (80369016).
Almost surely, 23848262624 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 3848262624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786569152).
3848262624 is an abundant number, since it is smaller than the sum of its proper divisors (7724875680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3848262624 is a wasteful number, since it uses less digits than its factorization.
3848262624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10601 (or 10590 counting only the distinct ones).
The product of its digits is 884736, while the sum is 45.
The square root of 3848262624 is about 62034.3664753659. The cubic root of 3848262624 is about 1567.0694143269.
The spelling of 3848262624 in words is "three billion, eight hundred forty-eight million, two hundred sixty-two thousand, six hundred twenty-four".
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