Base | Representation |
---|---|
bin | 11001010001100… |
… | …000100111010000 |
3 | 1002112212110200110 |
4 | 121101200213100 |
5 | 1332022123212 |
6 | 110024121320 |
7 | 13336054113 |
oct | 3121404720 |
9 | 1075773613 |
10 | 424020432 |
11 | 1a8391910 |
12 | ba006240 |
13 | 69b01984 |
14 | 4045857a |
15 | 2735aa3c |
hex | 194609d0 |
424020432 has 80 divisors (see below), whose sum is σ = 1198726848. Its totient is φ = 128087040.
The previous prime is 424020383. The next prime is 424020437. The reversal of 424020432 is 234020424.
It is a junction number, because it is equal to n+sod(n) for n = 424020399 and 424020408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424020437) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195868 + ... + 198020.
Almost surely, 2424020432 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 424020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599363424).
424020432 is an abundant number, since it is smaller than the sum of its proper divisors (774706416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424020432 is a wasteful number, since it uses less digits than its factorization.
424020432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 424020432 is about 20591.7564088156. The cubic root of 424020432 is about 751.2692180137.
Adding to 424020432 its reverse (234020424), we get a palindrome (658040856).
The spelling of 424020432 in words is "four hundred twenty-four million, twenty thousand, four hundred thirty-two".
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