Base | Representation |
---|---|
bin | 11001001011011… |
… | …111010111000000 |
3 | 1002102220022002000 |
4 | 121023133113000 |
5 | 1331121124212 |
6 | 105530224000 |
7 | 13316462406 |
oct | 3113372700 |
9 | 1072808060 |
10 | 422442432 |
11 | 1a7504285 |
12 | b9585000 |
13 | 6969b649 |
14 | 40167476 |
15 | 271481dc |
hex | 192df5c0 |
422442432 has 112 divisors (see below), whose sum is σ = 1250899200. Its totient is φ = 139795200.
The previous prime is 422442407. The next prime is 422442443. The reversal of 422442432 is 234244224.
422442432 is a `hidden beast` number, since 4 + 224 + 4 + 2 + 432 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 422442396 and 422442405.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260119 + ... + 261737.
Almost surely, 2422442432 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 422442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625449600).
422442432 is an abundant number, since it is smaller than the sum of its proper divisors (828456768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422442432 is a wasteful number, since it uses less digits than its factorization.
422442432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1791 (or 1775 counting only the distinct ones).
The product of its digits is 12288, while the sum is 27.
The square root of 422442432 is about 20553.4043895409. The cubic root of 422442432 is about 750.3361053551.
Adding to 422442432 its reverse (234244224), we get a palindrome (656686656).
It can be divided in two parts, 4224 and 42432, that added together give a 6-th power (46656 = 66).
The spelling of 422442432 in words is "four hundred twenty-two million, four hundred forty-two thousand, four hundred thirty-two".
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