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426105135 = 32537255919
BaseRepresentation
bin11001011001011…
…101100100101111
31002200210101100200
4121121131210233
51333040331020
6110140524543
713362556011
oct3131354457
91080711320
10426105135
111a9586105
12ba850753
136a381821
144083c1b1
152761d590
hex1965d92f

426105135 has 24 divisors (see below), whose sum is σ = 758546880. Its totient is φ = 221113152.

The previous prime is 426105131. The next prime is 426105167. The reversal of 426105135 is 531501624.

426105135 is a `hidden beast` number, since 42 + 610 + 5 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 426105135 - 22 = 426105131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 426105099 and 426105108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426105131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126295 + ... + 129624.

It is an arithmetic number, because the mean of its divisors is an integer number (31606120).

Almost surely, 2426105135 is an apocalyptic number.

426105135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

426105135 is a deficient number, since it is larger than the sum of its proper divisors (332441745).

426105135 is a wasteful number, since it uses less digits than its factorization.

426105135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255967 (or 255964 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 426105135 is about 20642.3141871254. The cubic root of 426105135 is about 752.4984146573.

Adding to 426105135 its reverse (531501624), we get a palindrome (957606759).

The spelling of 426105135 in words is "four hundred twenty-six million, one hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 255919 767757 1279595 2303271 3838785 9469003 11516355 28407009 47345015 85221027 142035045 426105135