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42135333 = 3172232113
BaseRepresentation
bin1010000010111…
…0111100100101
32221021200210220
42200232330211
541241312313
64103034553
71021100352
oct240567445
987250726
1042135333
1121869999
121213ba59
138963766
14584b629
153a74823
hex282ef25

42135333 has 24 divisors (see below), whose sum is σ = 62303808. Its totient is φ = 25276416.

The previous prime is 42135329. The next prime is 42135389. The reversal of 42135333 is 33353124.

It is a happy number.

42135333 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 42135333 - 22 = 42135329 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135133) 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, 18885 + ... + 20997.

It is an arithmetic number, because the mean of its divisors is an integer number (2595992).

Almost surely, 242135333 is an apocalyptic number.

It is an amenable number.

42135333 is a deficient number, since it is larger than the sum of its proper divisors (20168475).

42135333 is a wasteful number, since it uses less digits than its factorization.

42135333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2156 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 42135333 is about 6491.1734686419. The cubic root of 42135333 is about 347.9756142907.

Adding to 42135333 its reverse (33353124), we get a palindrome (75488457).

The spelling of 42135333 in words is "forty-two million, one hundred thirty-five thousand, three hundred thirty-three".

Divisors: 1 3 17 23 51 69 289 391 867 1173 2113 6339 6647 19941 35921 48599 107763 145797 610657 826183 1831971 2478549 14045111 42135333