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42014175 = 3527791013
BaseRepresentation
bin1010000001000…
…1010111011111
32221001112121120
42200101113133
541223423200
64100302023
71020054210
oct240212737
987045546
1042014175
1121796965
12120a1913
138920578
145819407
153a4d9a0
hex28115df

42014175 has 48 divisors (see below), whose sum is σ = 80471040. Its totient is φ = 18944640.

The previous prime is 42014173. The next prime is 42014183. The reversal of 42014175 is 57141024.

42014175 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 42014175 - 21 = 42014173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014171) 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 47 ways as a sum of consecutive naturals, for example, 40969 + ... + 41981.

It is an arithmetic number, because the mean of its divisors is an integer number (1676480).

Almost surely, 242014175 is an apocalyptic number.

42014175 is a deficient number, since it is larger than the sum of its proper divisors (38456865).

42014175 is a wasteful number, since it uses less digits than its factorization.

With its successor (42014176) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1107).

42014175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 42014175 is about 6481.8342311417. The cubic root of 42014175 is about 347.6417653899.

Adding to 42014175 its reverse (57141024), we get a palindrome (99155199).

The spelling of 42014175 in words is "forty-two million, fourteen thousand, one hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 79 105 175 237 395 525 553 1013 1185 1659 1975 2765 3039 5065 5925 7091 8295 13825 15195 21273 25325 35455 41475 75975 80027 106365 177275 240081 400135 531825 560189 1200405 1680567 2000675 2800945 6002025 8402835 14004725 42014175