Base | Representation |
---|---|
bin | 1100101010111… |
… | …0001110100000 |
3 | 10200222220201020 |
4 | 3022232032200 |
5 | 102101024212 |
6 | 5135005440 |
7 | 1213463130 |
oct | 312561640 |
9 | 120886636 |
10 | 53142432 |
11 | 27aa7772 |
12 | 15969880 |
13 | b018835 |
14 | 70b4ac0 |
15 | 49ead8c |
hex | 32ae3a0 |
53142432 has 96 divisors (see below), whose sum is σ = 164634624. Its totient is φ = 14688000.
The previous prime is 53142389. The next prime is 53142433. The reversal of 53142432 is 23424135.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (53142433) 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, 19557 + ... + 22107.
It is an arithmetic number, because the mean of its divisors is an integer number (1714944).
Almost surely, 253142432 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 53142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82317312).
53142432 is an abundant number, since it is smaller than the sum of its proper divisors (111492192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53142432 is a wasteful number, since it uses less digits than its factorization.
53142432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).
The product of its digits is 2880, while the sum is 24.
The square root of 53142432 is about 7289.8855958101. The cubic root of 53142432 is about 375.9647620515.
Adding to 53142432 its reverse (23424135), we get a palindrome (76566567).
The spelling of 53142432 in words is "fifty-three million, one hundred forty-two thousand, four hundred thirty-two".
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