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42129175 = 5211219733
BaseRepresentation
bin1010000010110…
…1011100010111
32221021101100211
42200231130113
541241113200
64102550251
71021043404
oct240553427
987241324
1042129175
1121865300
1212138387
138960a0a
1458492ab
153a72aba
hex282d717

42129175 has 36 divisors (see below), whose sum is σ = 60525640. Its totient is φ = 28987200.

The previous prime is 42129173. The next prime is 42129209. The reversal of 42129175 is 57192124.

42129175 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 42129175 - 21 = 42129173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42129173) 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 35 ways as a sum of consecutive naturals, for example, 57109 + ... + 57841.

Almost surely, 242129175 is an apocalyptic number.

42129175 is a deficient number, since it is larger than the sum of its proper divisors (18396465).

42129175 is a wasteful number, since it uses less digits than its factorization.

42129175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 42129175 is about 6490.6991148874. The cubic root of 42129175 is about 347.9586614700.

The spelling of 42129175 in words is "forty-two million, one hundred twenty-nine thousand, one hundred seventy-five".

Divisors: 1 5 11 19 25 55 95 121 209 275 475 605 733 1045 2299 3025 3665 5225 8063 11495 13927 18325 40315 57475 69635 88693 153197 201575 348175 443465 765985 1685167 2217325 3829925 8425835 42129175