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42741132 = 2237272689
BaseRepresentation
bin1010001100001…
…0110110001100
32222102110210220
42203002312030
541420204012
64124031340
71026202500
oct243026614
988373726
1042741132
1122143055
1212392550
138b16415
145968300
153b4408c
hex28c2d8c

42741132 has 36 divisors (see below), whose sum is σ = 116013240. Its totient is φ = 12211584.

The previous prime is 42741121. The next prime is 42741143. The reversal of 42741132 is 23114724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42741121) and next prime (42741143).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35757 + ... + 36932.

It is an arithmetic number, because the mean of its divisors is an integer number (3222590).

Almost surely, 242741132 is an apocalyptic number.

42741132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42741132 is an abundant number, since it is smaller than the sum of its proper divisors (73272108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42741132 is a wasteful number, since it uses less digits than its factorization.

42741132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72710 (or 72701 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 42741132 is about 6537.6702272293. The cubic root of 42741132 is about 349.6353535595.

Adding to 42741132 its reverse (23114724), we get a palindrome (65855856).

The spelling of 42741132 in words is "forty-two million, seven hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 72689 145378 218067 290756 436134 508823 872268 1017646 1526469 2035292 3052938 3561761 6105876 7123522 10685283 14247044 21370566 42741132