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42442101 = 3213362753
BaseRepresentation
bin1010000111100…
…1110101110101
32221212021121200
42201321311311
541331121401
64113403113
71023515622
oct241716565
987767550
1042442101
1121a59419
1212269499
138a40290
1458cb349
153ad5686
hex2879d75

42442101 has 12 divisors (see below), whose sum is σ = 66021228. Its totient is φ = 26118144.

The previous prime is 42442097. The next prime is 42442129. The reversal of 42442101 is 10124424.

It can be written as a sum of positive squares in 2 ways, for example, as 5171076 + 37271025 = 2274^2 + 6105^2 .

It is not a de Polignac number, because 42442101 - 22 = 42442097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181260 + ... + 181493.

It is an arithmetic number, because the mean of its divisors is an integer number (5501769).

Almost surely, 242442101 is an apocalyptic number.

It is an amenable number.

42442101 is a deficient number, since it is larger than the sum of its proper divisors (23579127).

42442101 is a wasteful number, since it uses less digits than its factorization.

42442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362772 (or 362769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42442101 is about 6514.7602411754. The cubic root of 42442101 is about 348.8180566300.

Adding to 42442101 its reverse (10124424), we get a palindrome (52566525).

The spelling of 42442101 in words is "forty-two million, four hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 13 39 117 362753 1088259 3264777 4715789 14147367 42442101