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42354135 = 3251949537
BaseRepresentation
bin1010000110010…
…0010111010111
32221200210221200
42201210113113
541320313020
64111443543
71023001305
oct241442727
987623850
1042354135
11219a931a
12122265b3
138a0c225
1458a7275
153ab9590
hex28645d7

42354135 has 24 divisors (see below), whose sum is σ = 77279280. Its totient is φ = 21399552.

The previous prime is 42354113. The next prime is 42354139. The reversal of 42354135 is 53145324.

42354135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42354135 - 26 = 42354071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42354099 and 42354108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42354139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23914 + ... + 25623.

It is an arithmetic number, because the mean of its divisors is an integer number (3219970).

Almost surely, 242354135 is an apocalyptic number.

42354135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42354135 is a deficient number, since it is larger than the sum of its proper divisors (34925145).

42354135 is a wasteful number, since it uses less digits than its factorization.

42354135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49567 (or 49564 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 42354135 is about 6508.0054548225. The cubic root of 42354135 is about 348.5769018046.

Adding to 42354135 its reverse (53145324), we get a palindrome (95499459).

The spelling of 42354135 in words is "forty-two million, three hundred fifty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 49537 148611 247685 445833 743055 941203 2229165 2823609 4706015 8470827 14118045 42354135