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42131241 = 3210146349
BaseRepresentation
bin1010000010110…
…1111100101001
32221021111012100
42200231330221
541241144431
64103004013
71021052415
oct240557451
987244170
1042131241
1121866909
1212139609
138961939
145849d45
153a734e6
hex282df29

42131241 has 12 divisors (see below), whose sum is σ = 61460100. Its totient is φ = 27808800.

The previous prime is 42131183. The next prime is 42131267. The reversal of 42131241 is 14213124.

42131241 is a `hidden beast` number, since 421 + 3 + 1 + 241 = 666.

42131241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26163225 + 15968016 = 5115^2 + 3996^2 .

It is not a de Polignac number, because 42131241 - 213 = 42123049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42131281) 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 11 ways as a sum of consecutive naturals, for example, 22266 + ... + 24083.

It is an arithmetic number, because the mean of its divisors is an integer number (5121675).

Almost surely, 242131241 is an apocalyptic number.

It is an amenable number.

42131241 is a deficient number, since it is larger than the sum of its proper divisors (19328859).

42131241 is a wasteful number, since it uses less digits than its factorization.

42131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46456 (or 46453 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42131241 is about 6490.8582637429. The cubic root of 42131241 is about 347.9643493007.

Adding to 42131241 its reverse (14213124), we get a palindrome (56344365).

The spelling of 42131241 in words is "forty-two million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 101 303 909 46349 139047 417141 4681249 14043747 42131241