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42516081 = 3245710337
BaseRepresentation
bin1010001000101…
…1111001110001
32222000001002200
42202023321301
541341003311
64115133413
71024244406
oct242137161
988001080
1042516081
1121aa9a63
12122a4269
138a67b5a
14590a2ad
153aec556
hex288be71

42516081 has 12 divisors (see below), whose sum is σ = 61552452. Its totient is φ = 28279296.

The previous prime is 42516077. The next prime is 42516119. The reversal of 42516081 is 18061524.

42516081 is a `hidden beast` number, since 4 + 2 + 51 + 608 + 1 = 666.

42516081 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 2 ways, for example, as 17715681 + 24800400 = 4209^2 + 4980^2 .

It is not a de Polignac number, because 42516081 - 22 = 42516077 is a prime.

It is a super-2 number, since 2×425160812 = 3615234287197122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516781) 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 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (5129371).

Almost surely, 242516081 is an apocalyptic number.

It is an amenable number.

42516081 is a deficient number, since it is larger than the sum of its proper divisors (19036371).

42516081 is a wasteful number, since it uses less digits than its factorization.

42516081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10797 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42516081 is about 6520.4356449550. The cubic root of 42516081 is about 349.0206116403.

The spelling of 42516081 in words is "forty-two million, five hundred sixteen thousand, eighty-one".

Divisors: 1 3 9 457 1371 4113 10337 31011 93033 4724009 14172027 42516081