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42589505 = 5717312309
BaseRepresentation
bin1010001001110…
…1110101000001
32222010202211002
42202131311001
541400331010
64120501345
71025001440
oct242356501
988122732
1042589505
112204a142
121231a855
138a923ba
145928d57
153b141a5
hex289dd41

42589505 has 32 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 26588160.

The previous prime is 42589501. The next prime is 42589511. The reversal of 42589505 is 50598524.

It is not a de Polignac number, because 42589505 - 22 = 42589501 is a prime.

It is a super-2 number, since 2×425895052 = 3627731872290050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42589501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17291 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 242589505 is an apocalyptic number.

It is an amenable number.

42589505 is a deficient number, since it is larger than the sum of its proper divisors (21277375).

42589505 is a wasteful number, since it uses less digits than its factorization.

42589505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369.

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 42589505 is about 6526.0635148610. The cubic root of 42589505 is about 349.2214121442.

The spelling of 42589505 in words is "forty-two million, five hundred eighty-nine thousand, five hundred five".

Divisors: 1 5 7 17 31 35 85 119 155 217 527 595 1085 2309 2635 3689 11545 16163 18445 39253 71579 80815 196265 274771 357895 501053 1216843 1373855 2505265 6084215 8517901 42589505