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42083361 = 331558643
BaseRepresentation
bin1010000010001…
…0010000100001
32221012001112000
42200202100201
541233131421
64101554213
71020463005
oct240422041
987161460
1042083361
1121833941
1212115969
138945bc8
145836705
153a64226
hex2822421

42083361 has 8 divisors (see below), whose sum is σ = 62345760. Its totient is φ = 28055556.

The previous prime is 42083341. The next prime is 42083417. The reversal of 42083361 is 16338024.

It is a happy number.

It is not a de Polignac number, because 42083361 - 218 = 41821217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1558643 = 42083361 / (4 + 2 + 0 + 8 + 3 + 3 + 6 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42083311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779295 + ... + 779348.

It is an arithmetic number, because the mean of its divisors is an integer number (7793220).

Almost surely, 242083361 is an apocalyptic number.

It is an amenable number.

42083361 is a deficient number, since it is larger than the sum of its proper divisors (20262399).

42083361 is a wasteful number, since it uses less digits than its factorization.

42083361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558652 (or 1558646 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42083361 is about 6487.1689510911. The cubic root of 42083361 is about 347.8324847752.

It can be divided in two parts, 4208 and 3361, that added together give a square (7569 = 872).

The spelling of 42083361 in words is "forty-two million, eighty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 27 1558643 4675929 14027787 42083361