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42871761 = 3719603
BaseRepresentation
bin1010001110001…
…0101111010001
32222200010000000
42203202233101
541433344021
64130520213
71030255362
oct243425721
988603000
1042871761
1122222209
1212436069
138b60a0a
14599db69
153b6cb26
hex28e2bd1

42871761 has 16 divisors (see below), whose sum is σ = 64301120. Its totient is φ = 28579716.

The previous prime is 42871757. The next prime is 42871781. The reversal of 42871761 is 16717824.

42871761 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 42871761 - 22 = 42871757 is a prime.

It is a super-3 number, since 3×428717613 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42871711) 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 15 ways as a sum of consecutive naturals, for example, 7615 + ... + 11988.

It is an arithmetic number, because the mean of its divisors is an integer number (4018820).

Almost surely, 242871761 is an apocalyptic number.

It is an amenable number.

42871761 is a deficient number, since it is larger than the sum of its proper divisors (21429359).

42871761 is an frugal number, since it uses more digits than its factorization.

42871761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624 (or 19606 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 42871761 is about 6547.6530909937. The cubic root of 42871761 is about 349.9911861726.

The spelling of 42871761 in words is "forty-two million, eight hundred seventy-one thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 2187 19603 58809 176427 529281 1587843 4763529 14290587 42871761