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42613441 = 13172961109
BaseRepresentation
bin1010001010001…
…1101011000001
32222011222122121
42202203223001
541402112231
64121204241
71025131303
oct242435301
988158577
1042613441
1122066122
1212330681
138aa0270
145933973
153b1b311
hex28a3ac1

42613441 has 32 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 34836480.

The previous prime is 42613433. The next prime is 42613451. The reversal of 42613441 is 14431624.

It can be written as a sum of positive squares in 16 ways, for example, as 14745600 + 27867841 = 3840^2 + 5279^2 .

It is a cyclic number.

It is not a de Polignac number, because 42613441 - 23 = 42613433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42613451) 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 31 ways as a sum of consecutive naturals, for example, 390895 + ... + 391003.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 242613441 is an apocalyptic number.

It is an amenable number.

42613441 is a deficient number, since it is larger than the sum of its proper divisors (8945759).

42613441 is a wasteful number, since it uses less digits than its factorization.

42613441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229.

The product of its digits is 2304, while the sum is 25.

The square root of 42613441 is about 6527.8971346062. The cubic root of 42613441 is about 349.2868226113.

The spelling of 42613441 in words is "forty-two million, six hundred thirteen thousand, four hundred forty-one".

Divisors: 1 13 17 29 61 109 221 377 493 793 1037 1417 1769 1853 3161 6409 6649 13481 22997 24089 30073 41093 53737 86437 113033 192821 390949 698581 1469429 2506673 3277957 42613441