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42244033 = 13113149193
BaseRepresentation
bin1010000100100…
…1011111000001
32221111012220211
42201021133001
541303302113
64105234121
71022032306
oct241113701
987435824
1042244033
1121933627
1212192941
1389a1090
1458790ad
153a96b3d
hex28497c1

42244033 has 16 divisors (see below), whose sum is σ = 46443600. Its totient is φ = 38191104.

The previous prime is 42244009. The next prime is 42244057. The reversal of 42244033 is 33044224.

It is an interprime number because it is at equal distance from previous prime (42244009) and next prime (42244057).

It can be written as a sum of positive squares in 8 ways, for example, as 24880144 + 17363889 = 4988^2 + 4167^2 .

It is a cyclic number.

It is not a de Polignac number, because 42244033 - 25 = 42244001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42243995 and 42244013.

It is not an unprimeable number, because it can be changed into a prime (42244003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218785 + ... + 218977.

It is an arithmetic number, because the mean of its divisors is an integer number (2902725).

Almost surely, 242244033 is an apocalyptic number.

It is an amenable number.

42244033 is a deficient number, since it is larger than the sum of its proper divisors (4199567).

42244033 is a wasteful number, since it uses less digits than its factorization.

42244033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468.

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 42244033 is about 6499.5409837926. The cubic root of 42244033 is about 348.2745911541.

Adding to 42244033 its reverse (33044224), we get a palindrome (75288257).

The spelling of 42244033 in words is "forty-two million, two hundred forty-four thousand, thirty-three".

Divisors: 1 13 113 149 193 1469 1937 2509 16837 21809 28757 218881 283517 373841 3249541 42244033