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42174675 = 345259353
BaseRepresentation
bin1010000011100…
…0100011010011
32221100200210000
42200320203103
541244042200
64103541043
71021323144
oct240704323
987320700
1042174675
1121896504
121215a783
13897863a
14585bacb
153a81300
hex28388d3

42174675 has 60 divisors (see below), whose sum is σ = 79671240. Its totient is φ = 22049280.

The previous prime is 42174673. The next prime is 42174677. The reversal of 42174675 is 57647124.

It is an interprime number because it is at equal distance from previous prime (42174673) and next prime (42174677).

It is not a de Polignac number, because 42174675 - 21 = 42174673 is a prime.

It is a super-2 number, since 2×421746752 = 3557406422711250, which contains 22 as substring.

Its product of digits (47040) is a multiple of the sum of its prime divisors (420).

It is not an unprimeable number, because it can be changed into a prime (42174673) 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 59 ways as a sum of consecutive naturals, for example, 119299 + ... + 119651.

It is an arithmetic number, because the mean of its divisors is an integer number (1327854).

Almost surely, 242174675 is an apocalyptic number.

42174675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42174675 is a deficient number, since it is larger than the sum of its proper divisors (37496565).

42174675 is a wasteful number, since it uses less digits than its factorization.

42174675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 42174675 is about 6494.2031843791. The cubic root of 42174675 is about 348.0838828706.

It can be divided in two parts, 421746 and 75, that added together give a triangular number (421821 = T918).

The spelling of 42174675 in words is "forty-two million, one hundred seventy-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 59 75 81 135 177 225 295 353 405 531 675 885 1059 1475 1593 1765 2025 2655 3177 4425 4779 5295 7965 8825 9531 13275 15885 20827 23895 26475 28593 39825 47655 62481 79425 104135 119475 142965 187443 238275 312405 520675 562329 714825 937215 1562025 1686987 2811645 4686075 8434935 14058225 42174675