Base | Representation |
---|---|
bin | 101111101001… |
… | …0101000100100 |
3 | 1202000010010100 |
4 | 1133102220210 |
5 | 22343330004 |
6 | 2251224100 |
7 | 422220000 |
oct | 137225044 |
9 | 52003110 |
10 | 24980004 |
11 | 13111935 |
12 | 8448030 |
13 | 523808a |
14 | 3463700 |
15 | 22d6739 |
hex | 17d2a24 |
24980004 has 135 divisors (see below), whose sum is σ = 78251537. Its totient is φ = 6717312.
The previous prime is 24979973. The next prime is 24980009. The reversal of 24980004 is 40008942.
The square root of 24980004 is 4998.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 19448100 + 5531904 = 4410^2 + 2352^2 .
It is a nialpdrome in base 7.
It is a self number, because there is not a number n which added to its sum of digits gives 24980004.
It is not an unprimeable number, because it can be changed into a prime (24980009) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1469404 + ... + 1469420.
Almost surely, 224980004 is an apocalyptic number.
24980004 is the 4998-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 24980004
24980004 is an abundant number, since it is smaller than the sum of its proper divisors (53271533).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24980004 is a wasteful number, since it uses less digits than its factorization.
24980004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 29 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The cubic root of 24980004 is about 292.3237948158.
Multiplying 24980004 by its product of nonzero digits (2304), we get a square (57553929216 = 2399042).
Adding to 24980004 its reverse (40008942), we get a palindrome (64988946).
The spelling of 24980004 in words is "twenty-four million, nine hundred eighty thousand, four".
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