Base | Representation |
---|---|
bin | 11001010001100… |
… | …101111011011000 |
3 | 1002112220120112200 |
4 | 121101211323120 |
5 | 1332023322300 |
6 | 110024410200 |
7 | 13336204431 |
oct | 3121457330 |
9 | 1075816480 |
10 | 424042200 |
11 | 1a83a71aa |
12 | ba016960 |
13 | 69b0b85a |
14 | 40462488 |
15 | 27362200 |
hex | 19465ed8 |
424042200 has 144 divisors (see below), whose sum is σ = 1462793280. Its totient is φ = 110004480.
The previous prime is 424042189. The next prime is 424042219. The reversal of 424042200 is 2240424.
424042200 is a `hidden beast` number, since 4 + 240 + 422 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63417 + ... + 69783.
Almost surely, 2424042200 is an apocalyptic number.
424042200 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 424042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731396640).
424042200 is an abundant number, since it is smaller than the sum of its proper divisors (1038751080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424042200 is a wasteful number, since it uses less digits than its factorization.
424042200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6426 (or 6414 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 424042200 is about 20592.2849630632. The cubic root of 424042200 is about 751.2820738002.
Adding to 424042200 its reverse (2240424), we get a palindrome (426282624).
The spelling of 424042200 in words is "four hundred twenty-four million, forty-two thousand, two hundred".
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