Base | Representation |
---|---|
bin | 101111101110… |
… | …1011000100000 |
3 | 1202002100112000 |
4 | 1133131120200 |
5 | 22401232112 |
6 | 2252204000 |
7 | 422462235 |
oct | 137353040 |
9 | 52070460 |
10 | 25024032 |
11 | 13141a20 |
12 | 8469600 |
13 | 5252127 |
14 | 347578c |
15 | 22e47dc |
hex | 17dd620 |
25024032 has 96 divisors (see below), whose sum is σ = 79652160. Its totient is φ = 7580160.
The previous prime is 25024001. The next prime is 25024033. The reversal of 25024032 is 23042052.
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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 25023996 and 25024014.
It is not an unprimeable number, because it can be changed into a prime (25024033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8188 + ... + 10820.
It is an arithmetic number, because the mean of its divisors is an integer number (829710).
Almost surely, 225024032 is an apocalyptic number.
25024032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 25024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39826080).
25024032 is an abundant number, since it is smaller than the sum of its proper divisors (54628128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
25024032 is a wasteful number, since it uses less digits than its factorization.
25024032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2663 (or 2649 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 25024032 is about 5002.4026227404. The cubic root of 25024032 is about 292.4954371412.
Adding to 25024032 its reverse (23042052), we get a palindrome (48066084).
The spelling of 25024032 in words is "twenty-five million, twenty-four thousand, thirty-two".
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