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42673563 = 32191631531
BaseRepresentation
bin1010001011001…
…0010110011011
32222022001010100
42202302112123
541411023223
64122350443
71025501502
oct242622633
988261110
1042673563
11220a7309
121235b423
138ac173a
14594b839
153b2e043
hex28b259b

42673563 has 24 divisors (see below), whose sum is σ = 65324480. Its totient is φ = 26768880.

The previous prime is 42673523. The next prime is 42673567. The reversal of 42673563 is 36537624.

42673563 is a `hidden beast` number, since 4 + 26 + 73 + 563 = 666.

42673563 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 42673563 - 218 = 42411419 is a prime.

It is a super-4 number, since 4×426735634 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42673567) 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 23 ways as a sum of consecutive naturals, for example, 27108 + ... + 28638.

Almost surely, 242673563 is an apocalyptic number.

42673563 is a deficient number, since it is larger than the sum of its proper divisors (22650917).

42673563 is a wasteful number, since it uses less digits than its factorization.

42673563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1716 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 42673563 is about 6532.5005166475. The cubic root of 42673563 is about 349.4510114493.

The spelling of 42673563 in words is "forty-two million, six hundred seventy-three thousand, five hundred sixty-three".

Divisors: 1 3 9 19 57 163 171 489 1467 1531 3097 4593 9291 13779 27873 29089 87267 249553 261801 748659 2245977 4741507 14224521 42673563