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42765021 = 3213365513
BaseRepresentation
bin1010001100100…
…0101011011101
32222110200120200
42203020223131
541421440041
64124334113
71026332235
oct243105335
988420520
1042765021
1122159aa2
12123a4339
138b24260
145972cc5
153b4b1b6
hex28c8add

42765021 has 12 divisors (see below), whose sum is σ = 66523548. Its totient is φ = 26316864.

The previous prime is 42765017. The next prime is 42765031. The reversal of 42765021 is 12056724.

42765021 is a `hidden beast` number, since 4 + 2 + 7 + 650 + 2 + 1 = 666.

42765021 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 1664100 + 41100921 = 1290^2 + 6411^2 .

It is not a de Polignac number, because 42765021 - 22 = 42765017 is a prime.

It is a super-2 number, since 2×427650212 = 3657694042260882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765001) 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, 182640 + ... + 182873.

It is an arithmetic number, because the mean of its divisors is an integer number (5543629).

Almost surely, 242765021 is an apocalyptic number.

It is an amenable number.

42765021 is a deficient number, since it is larger than the sum of its proper divisors (23758527).

42765021 is a wasteful number, since it uses less digits than its factorization.

42765021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365532 (or 365529 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42765021 is about 6539.4969990054. The cubic root of 42765021 is about 349.7004811694.

The spelling of 42765021 in words is "forty-two million, seven hundred sixty-five thousand, twenty-one".

Divisors: 1 3 9 13 39 117 365513 1096539 3289617 4751669 14255007 42765021