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42135525 = 335262423
BaseRepresentation
bin1010000010111…
…0111111100101
32221021201002000
42200232333211
541241314100
64103035513
71021101045
oct240567745
987251060
1042135525
112186a053
121213bb99
138963883
14584b725
153a74900
hex282efe5

42135525 has 24 divisors (see below), whose sum is σ = 77405760. Its totient is φ = 22471920.

The previous prime is 42135523. The next prime is 42135551. The reversal of 42135525 is 52553124.

It is a happy number.

42135525 is a `hidden beast` number, since 4 + 2 + 135 + 525 = 666.

It is not a de Polignac number, because 42135525 - 21 = 42135523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30537 + ... + 31886.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 242135525 is an apocalyptic number.

42135525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42135525 is a deficient number, since it is larger than the sum of its proper divisors (35270235).

42135525 is a wasteful number, since it uses less digits than its factorization.

42135525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62442 (or 62431 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 42135525 is about 6491.1882579386. The cubic root of 42135525 is about 347.9761428354.

Adding to 42135525 its reverse (52553124), we get a palindrome (94688649).

The spelling of 42135525 in words is "forty-two million, one hundred thirty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 62423 187269 312115 561807 936345 1560575 1685421 2809035 4681725 8427105 14045175 42135525