Base | Representation |
---|---|
bin | 1100111010001… |
… | …0010011000000 |
3 | 10202212201001121 |
4 | 3032202103000 |
5 | 102330022034 |
6 | 5212242024 |
7 | 1225125550 |
oct | 316422300 |
9 | 122781047 |
10 | 54142144 |
11 | 2861a881 |
12 | 16170314 |
13 | b2a8894 |
14 | 7295160 |
15 | 4b471b4 |
hex | 33a24c0 |
54142144 has 56 divisors (see below), whose sum is σ = 130027680. Its totient is φ = 21835776.
The previous prime is 54142141. The next prime is 54142147. The reversal of 54142144 is 44124145.
It is an interprime number because it is at equal distance from previous prime (54142141) and next prime (54142147).
It is a tau number, because it is divible by the number of its divisors (56).
It is not an unprimeable number, because it can be changed into a prime (54142141) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4062 + ... + 11170.
Almost surely, 254142144 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 54142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65013840).
54142144 is an abundant number, since it is smaller than the sum of its proper divisors (75885536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54142144 is a wasteful number, since it uses less digits than its factorization.
54142144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7145 (or 7135 counting only the distinct ones).
The product of its digits is 2560, while the sum is 25.
The square root of 54142144 is about 7358.1345462012. The cubic root of 54142144 is about 378.3076729455.
Adding to 54142144 its reverse (44124145), we get a palindrome (98266289).
The spelling of 54142144 in words is "fifty-four million, one hundred forty-two thousand, one hundred forty-four".
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