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42502653 = 3219324469
BaseRepresentation
bin1010001000100…
…0100111111101
32221222100200100
42202020213331
541340041103
64114551313
71024160304
oct242104775
987870610
1042502653
1121a9a966
1212298539
138a619cb
14590543b
153ae85a3
hex28889fd

42502653 has 12 divisors (see below), whose sum is σ = 61713340. Its totient is φ = 28187136.

The previous prime is 42502627. The next prime is 42502667. The reversal of 42502653 is 35620524.

42502653 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 2 + 653 = 666.

42502653 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 8139609 + 34363044 = 2853^2 + 5862^2 .

It is not a de Polignac number, because 42502653 - 218 = 42240509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42502673) 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, 10498 + ... + 13971.

Almost surely, 242502653 is an apocalyptic number.

It is an amenable number.

42502653 is a deficient number, since it is larger than the sum of its proper divisors (19210687).

42502653 is a wasteful number, since it uses less digits than its factorization.

42502653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24668 (or 24665 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42502653 is about 6519.4058778389. The cubic root of 42502653 is about 348.9838636448.

It can be divided in two parts, 4250 and 2653, that added together give a triangular number (6903 = T117).

The spelling of 42502653 in words is "forty-two million, five hundred two thousand, six hundred fifty-three".

Divisors: 1 3 9 193 579 1737 24469 73407 220221 4722517 14167551 42502653