Base | Representation |
---|---|
bin | 11001011101101… |
… | …110101111101010 |
3 | 1002202220020012200 |
4 | 121131232233222 |
5 | 1333332132132 |
6 | 110220521030 |
7 | 13405226100 |
oct | 3135565752 |
9 | 1082806180 |
10 | 427224042 |
11 | 1aa17a823 |
12 | bb0b0176 |
13 | 6a683bbb |
14 | 40a4dc70 |
15 | 2778ed7c |
hex | 1976ebea |
427224042 has 72 divisors (see below), whose sum is σ = 1140158916. Its totient is φ = 114879744.
The previous prime is 427224023. The next prime is 427224047. The reversal of 427224042 is 240422724.
It can be written as a sum of positive squares in 2 ways, for example, as 415792881 + 11431161 = 20391^2 + 3381^2 .
It is a junction number, because it is equal to n+sod(n) for n = 427223997 and 427224015.
It is not an unprimeable number, because it can be changed into a prime (427224047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748 + ... + 29240.
Almost surely, 2427224042 is an apocalyptic number.
427224042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 427224042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570079458).
427224042 is an abundant number, since it is smaller than the sum of its proper divisors (712934874).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427224042 is a wasteful number, since it uses less digits than its factorization.
427224042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28532 (or 28522 counting only the distinct ones).
The product of its (nonzero) digits is 7168, while the sum is 27.
The square root of 427224042 is about 20669.3986850126. The cubic root of 427224042 is about 753.1564993787.
Adding to 427224042 its reverse (240422724), we get a palindrome (667646766).
It can be divided in two parts, 42722 and 4042, that added together give a palindrome (46764).
The spelling of 427224042 in words is "four hundred twenty-seven million, two hundred twenty-four thousand, forty-two".
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