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42352131 = 3232112909
BaseRepresentation
bin1010000110001…
…1111000000011
32221200201012110
42201203320003
541320232011
64111430403
71022662413
oct241437003
987621173
1042352131
11219a7868
1212225403
138a0b343
1458a6643
153ab8ba6
hex2863e03

42352131 has 16 divisors (see below), whose sum is σ = 59224320. Its totient is φ = 26869920.

The previous prime is 42352111. The next prime is 42352133. The reversal of 42352131 is 13125324.

It is not a de Polignac number, because 42352131 - 25 = 42352099 is a prime.

It is a super-3 number, since 3×423521313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42352098 and 42352107.

It is not an unprimeable number, because it can be changed into a prime (42352133) 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 15 ways as a sum of consecutive naturals, for example, 13105 + ... + 16013.

It is an arithmetic number, because the mean of its divisors is an integer number (3701520).

Almost surely, 242352131 is an apocalyptic number.

42352131 is a deficient number, since it is larger than the sum of its proper divisors (16872189).

42352131 is a wasteful number, since it uses less digits than its factorization.

42352131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146.

The product of its digits is 720, while the sum is 21.

The square root of 42352131 is about 6507.8514887788. The cubic root of 42352131 is about 348.5714040405.

Adding to 42352131 its reverse (13125324), we get a palindrome (55477455).

The spelling of 42352131 in words is "forty-two million, three hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 23 69 211 633 2909 4853 8727 14559 66907 200721 613799 1841397 14117377 42352131