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42688829 = 315232633
BaseRepresentation
bin1010001011011…
…0000100111101
32222022211001202
42202312010331
541412020304
64122545245
71025564141
oct242660475
988284052
1042688829
1122107827
1212368225
138ac8681
145953221
153b3381e
hex28b613d

42688829 has 8 divisors (see below), whose sum is σ = 44166912. Its totient is φ = 41217120.

The previous prime is 42688817. The next prime is 42688843. The reversal of 42688829 is 92888624.

42688829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42688829 - 24 = 42688813 is a prime.

It is a super-3 number, since 3×426888293 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14897 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (5520864).

Almost surely, 242688829 is an apocalyptic number.

It is an amenable number.

42688829 is a deficient number, since it is larger than the sum of its proper divisors (1478083).

42688829 is a wasteful number, since it uses less digits than its factorization.

42688829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187.

The product of its digits is 442368, while the sum is 47.

The square root of 42688829 is about 6533.6688774379. The cubic root of 42688829 is about 349.4926772391.

The spelling of 42688829 in words is "forty-two million, six hundred eighty-eight thousand, eight hundred twenty-nine".

Divisors: 1 31 523 2633 16213 81623 1377059 42688829