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42135665 = 51113311901
BaseRepresentation
bin1010000010111…
…1000001110001
32221021201021012
42200233001301
541241320130
64103040305
71021101335
oct240570161
987251235
1042135665
112186a170
1212140095
138963960
14584b7c5
153a74995
hex282f071

42135665 has 32 divisors (see below), whose sum is σ = 61350912. Its totient is φ = 27360000.

The previous prime is 42135661. The next prime is 42135671. The reversal of 42135665 is 56653124.

It is not a de Polignac number, because 42135665 - 22 = 42135661 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42135661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21215 + ... + 23115.

It is an arithmetic number, because the mean of its divisors is an integer number (1917216).

Almost surely, 242135665 is an apocalyptic number.

It is an amenable number.

42135665 is a deficient number, since it is larger than the sum of its proper divisors (19215247).

42135665 is a wasteful number, since it uses less digits than its factorization.

42135665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961.

The product of its digits is 21600, while the sum is 32.

The square root of 42135665 is about 6491.1990417796. The cubic root of 42135665 is about 347.9765282315.

Adding to 42135665 its reverse (56653124), we get a palindrome (98788789).

The spelling of 42135665 in words is "forty-two million, one hundred thirty-five thousand, six hundred sixty-five".

Divisors: 1 5 11 13 31 55 65 143 155 341 403 715 1705 1901 2015 4433 9505 20911 22165 24713 58931 104555 123565 271843 294655 648241 766103 1359215 3241205 3830515 8427133 42135665