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42205441 = 1719413187
BaseRepresentation
bin1010000100000…
…0000100000001
32221102020222111
42201000010001
541301033231
64104335321
71021511635
oct241000401
987366874
1042205441
1121907633
1212174541
138989645
145868dc5
153a8a4b1
hex2840101

42205441 has 16 divisors (see below), whose sum is σ = 48202560. Its totient is φ = 36702720.

The previous prime is 42205421. The next prime is 42205459. The reversal of 42205441 is 14450224.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42205441 - 211 = 42203393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42205421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11650 + ... + 14836.

It is an arithmetic number, because the mean of its divisors is an integer number (3012660).

Almost surely, 242205441 is an apocalyptic number.

42205441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42205441 is a deficient number, since it is larger than the sum of its proper divisors (5997119).

42205441 is a wasteful number, since it uses less digits than its factorization.

42205441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 42205441 is about 6496.5714804041. The cubic root of 42205441 is about 348.1685035244.

Adding to 42205441 its reverse (14450224), we get a palindrome (56655665).

The spelling of 42205441 in words is "forty-two million, two hundred five thousand, four hundred forty-one".

Divisors: 1 17 19 41 323 697 779 3187 13243 54179 60553 130667 1029401 2221339 2482673 42205441