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42007563 = 3213569631
BaseRepresentation
bin1010000000111…
…1110000001011
32221001012112200
42200033300023
541223220223
64100211243
71020026013
oct240176013
987035480
1042007563
11217919a4
1212099b23
13891a560
145816c43
153a4ba43
hex280fc0b

42007563 has 24 divisors (see below), whose sum is σ = 65563680. Its totient is φ = 25764480.

The previous prime is 42007549. The next prime is 42007571. The reversal of 42007563 is 36570024.

It is a happy number.

It is not a de Polignac number, because 42007563 - 24 = 42007547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42007523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66258 + ... + 66888.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 242007563 is an apocalyptic number.

42007563 is a deficient number, since it is larger than the sum of its proper divisors (23556117).

42007563 is a wasteful number, since it uses less digits than its factorization.

42007563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42007563 is about 6481.3241702603. The cubic root of 42007563 is about 347.6235276725.

Adding to 42007563 its reverse (36570024), we get a palindrome (78577587).

The spelling of 42007563 in words is "forty-two million, seven thousand, five hundred sixty-three".

Divisors: 1 3 9 13 39 117 569 631 1707 1893 5121 5679 7397 8203 22191 24609 66573 73827 359039 1077117 3231351 4667507 14002521 42007563