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42005235 = 353537933
BaseRepresentation
bin1010000000111…
…1001011110011
32221001002100110
42200033023303
541223131420
64100152403
71020016146
oct240171363
987032313
1042005235
1121790178
1212098703
13891948c
14581605d
153a4aee0
hex280f2f3

42005235 has 16 divisors (see below), whose sum is σ = 67407264. Its totient is φ = 22336512.

The previous prime is 42005209. The next prime is 42005237. The reversal of 42005235 is 53250024.

42005235 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 42005235 - 28 = 42004979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42005237) 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 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 9261.

It is an arithmetic number, because the mean of its divisors is an integer number (4212954).

Almost surely, 242005235 is an apocalyptic number.

42005235 is a deficient number, since it is larger than the sum of its proper divisors (25402029).

42005235 is a wasteful number, since it uses less digits than its factorization.

42005235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42005235 is about 6481.1445748417. The cubic root of 42005235 is about 347.6171059517.

Adding to 42005235 its reverse (53250024), we get a palindrome (95255259).

The spelling of 42005235 in words is "forty-two million, five thousand, two hundred thirty-five".

Divisors: 1 3 5 15 353 1059 1765 5295 7933 23799 39665 118995 2800349 8401047 14001745 42005235