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42729291 = 3211716079
BaseRepresentation
bin1010001011111…
…1111101001011
32222101212120100
42202333331023
541414314131
64123500443
71026123123
oct242777513
988355510
1042729291
1122135170
1212387723
138b10c07
145963c83
153b407e6
hex28bff4b

42729291 has 24 divisors (see below), whose sum is σ = 68290560. Its totient is φ = 25527600.

The previous prime is 42729287. The next prime is 42729293. The reversal of 42729291 is 19292724.

It is not a de Polignac number, because 42729291 - 22 = 42729287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42729293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3990 + ... + 10068.

It is an arithmetic number, because the mean of its divisors is an integer number (2845440).

Almost surely, 242729291 is an apocalyptic number.

42729291 is a deficient number, since it is larger than the sum of its proper divisors (25561269).

42729291 is a wasteful number, since it uses less digits than its factorization.

42729291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6164 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 42729291 is about 6536.7645666645. The cubic root of 42729291 is about 349.6030629267.

The spelling of 42729291 in words is "forty-two million, seven hundred twenty-nine thousand, two hundred ninety-one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 6079 7029 18237 54711 66869 200607 431609 601821 1294827 3884481 4747699 14243097 42729291