Search a number
-
+
42810761 = 72873689
BaseRepresentation
bin1010001101001…
…1110110001001
32222120000022202
42203103312021
541424421021
64125325545
71026612500
oct243236611
988500282
1042810761
11221903a4
12124068b5
138b3c016
145985837
153b59a0b
hex28d3d89

42810761 has 6 divisors (see below), whose sum is σ = 49800330. Its totient is φ = 36694896.

The previous prime is 42810737. The next prime is 42810763. The reversal of 42810761 is 16701824.

42810761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 26327161 + 16483600 = 5131^2 + 4060^2 .

It is not a de Polignac number, because 42810761 - 214 = 42794377 is a prime.

It is a super-2 number, since 2×428107612 = 3665522514798242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42810763) 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 5 ways as a sum of consecutive naturals, for example, 436796 + ... + 436893.

It is an arithmetic number, because the mean of its divisors is an integer number (8300055).

Almost surely, 242810761 is an apocalyptic number.

It is an amenable number.

42810761 is a deficient number, since it is larger than the sum of its proper divisors (6989569).

42810761 is an equidigital number, since it uses as much as digits as its factorization.

42810761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873703 (or 873696 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 42810761 is about 6542.9932752525. The cubic root of 42810761 is about 349.8251126271.

The spelling of 42810761 in words is "forty-two million, eight hundred ten thousand, seven hundred sixty-one".

Divisors: 1 7 49 873689 6115823 42810761