Base | Representation |
---|---|
bin | 11000000111001… |
… | …000100000010000 |
3 | 1001012011220021020 |
4 | 120013020200100 |
5 | 1312024214044 |
6 | 104050155440 |
7 | 13011250263 |
oct | 3007104020 |
9 | 1035156236 |
10 | 404523024 |
11 | 198385154 |
12 | b3582b80 |
13 | 65a66249 |
14 | 3ba20cda |
15 | 257a8a19 |
hex | 181c8810 |
404523024 has 80 divisors (see below), whose sum is σ = 1117464192. Its totient is φ = 125650944.
The previous prime is 404523013. The next prime is 404523029. The reversal of 404523024 is 420325404.
It is a super-2 number, since 2×4045230242 = 327277753892209152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 404522985 and 404523003.
It is not an unprimeable number, because it can be changed into a prime (404523029) 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, 81642 + ... + 86454.
Almost surely, 2404523024 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 404523024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558732096).
404523024 is an abundant number, since it is smaller than the sum of its proper divisors (712941168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
404523024 is a wasteful number, since it uses less digits than its factorization.
404523024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4944 (or 4938 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 24.
The square root of 404523024 is about 20112.7577422888. The cubic root of 404523024 is about 739.5730578385.
Adding to 404523024 its reverse (420325404), we get a palindrome (824848428).
The spelling of 404523024 in words is "four hundred four million, five hundred twenty-three thousand, twenty-four".
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