Base | Representation |
---|---|
bin | 100000010000… |
… | …000000000000 |
3 | 120220111220110 |
4 | 200100000000 |
5 | 4131013034 |
6 | 501111320 |
7 | 131600436 |
oct | 40200000 |
9 | 16814813 |
10 | 8454144 |
11 | 48547a6 |
12 | 29b8540 |
13 | 19a006a |
14 | 11a0d56 |
15 | b1ede9 |
hex | 810000 |
8454144 has 68 divisors (see below), whose sum is σ = 23068496. Its totient is φ = 2752512.
The previous prime is 8454143. The next prime is 8454191. The reversal of 8454144 is 4414548.
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (8454143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196587 + ... + 196629.
Almost surely, 28454144 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 8454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534248).
8454144 is an abundant number, since it is smaller than the sum of its proper divisors (14614352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8454144 is an frugal number, since it uses more digits than its factorization.
8454144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78 (or 48 counting only the distinct ones).
The product of its digits is 10240, while the sum is 30.
The square root of 8454144 is about 2907.6010730497. The cubic root of 8454144 is about 203.7150963333.
The spelling of 8454144 in words is "eight million, four hundred fifty-four thousand, one hundred forty-four".
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