Base | Representation |
---|---|
bin | 100011111011… |
… | …1010101000000 |
3 | 1022110010001010 |
4 | 1013313111000 |
5 | 14310320343 |
6 | 1511440520 |
7 | 316061520 |
oct | 107672500 |
9 | 38403033 |
10 | 18838848 |
11 | a6a79a6 |
12 | 6386140 |
13 | 3b97a62 |
14 | 2705680 |
15 | 19c1d33 |
hex | 11f7540 |
18838848 has 112 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 5291520.
The previous prime is 18838847. The next prime is 18838889. The reversal of 18838848 is 84883881.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 18838797 and 18838806.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18838843) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143743 + ... + 143873.
Almost surely, 218838848 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 18838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).
18838848 is an abundant number, since it is smaller than the sum of its proper divisors (39097536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18838848 is a wasteful number, since it uses less digits than its factorization.
18838848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 260 (or 250 counting only the distinct ones).
The product of its digits is 393216, while the sum is 48.
The square root of 18838848 is about 4340.3741774183. The cubic root of 18838848 is about 266.0836038485.
It can be divided in two parts, 1883 and 8848, that added together give a triangular number (10731 = T146).
The spelling of 18838848 in words is "eighteen million, eight hundred thirty-eight thousand, eight hundred forty-eight".
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