Base | Representation |
---|---|
bin | 1011110010001… |
… | …0011010000000 |
3 | 10102222222222112 |
4 | 2330202122000 |
5 | 100123032000 |
6 | 4523154452 |
7 | 1140045203 |
oct | 274423200 |
9 | 112888875 |
10 | 49424000 |
11 | 25997a8a |
12 | 14675a28 |
13 | a316192 |
14 | 67c793a |
15 | 4514235 |
hex | 2f22680 |
49424000 has 64 divisors (see below), whose sum is σ = 122920200. Its totient is φ = 19763200.
The previous prime is 49423999. The next prime is 49424003. The reversal of 49424000 is 42494.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 26460736 + 22963264 = 5144^2 + 4792^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (49424003) 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, 14456 + ... + 17544.
Almost surely, 249424000 is an apocalyptic number.
49424000 is a gapful number since it is divisible by the number (40) 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 49424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61460100).
49424000 is an abundant number, since it is smaller than the sum of its proper divisors (73496200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49424000 is an equidigital number, since it uses as much as digits as its factorization.
49424000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3118 (or 3096 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
The square root of 49424000 is about 7030.2204801841. The cubic root of 49424000 is about 366.9830144069.
Adding to 49424000 its reverse (42494), we get a palindrome (49466494).
The spelling of 49424000 in words is "forty-nine million, four hundred twenty-four thousand".
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