Base | Representation |
---|---|
bin | 1100110011110… |
… | …1110010000000 |
3 | 10202002210022000 |
4 | 3030331302000 |
5 | 102223333212 |
6 | 5155344000 |
7 | 1221462330 |
oct | 314756200 |
9 | 122083260 |
10 | 53730432 |
11 | 28369518 |
12 | 15bb2000 |
13 | b193372 |
14 | 71c90c0 |
15 | 4ab51dc |
hex | 333dc80 |
53730432 has 128 divisors (see below), whose sum is σ = 181315200. Its totient is φ = 15344640.
The previous prime is 53730419. The next prime is 53730433. The reversal of 53730432 is 23403735.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 53730396 and 53730405.
It is not an unprimeable number, because it can be changed into a prime (53730433) 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, 23082 + ... + 25302.
It is an arithmetic number, because the mean of its divisors is an integer number (1416525).
Almost surely, 253730432 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 53730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90657600).
53730432 is an abundant number, since it is smaller than the sum of its proper divisors (127584768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53730432 is a wasteful number, since it uses less digits than its factorization.
53730432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2251 (or 2233 counting only the distinct ones).
The product of its (nonzero) digits is 7560, while the sum is 27.
The square root of 53730432 is about 7330.1045013015. The cubic root of 53730432 is about 377.3463128910.
The spelling of 53730432 in words is "fifty-three million, seven hundred thirty thousand, four hundred thirty-two".
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