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42726411 = 3271324013
BaseRepresentation
bin1010001011111…
…1010000001011
32222101201121200
42202333100023
541414221121
64123435243
71026111540
oct242772013
988351550
1042726411
1122132a92
1212385b23
138b0c800
145962bc7
153b3ea26
hex28bf40b

42726411 has 36 divisors (see below), whose sum is σ = 76394448. Its totient is φ = 22531392.

The previous prime is 42726407. The next prime is 42726493. The reversal of 42726411 is 11462724.

42726411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42726411 - 22 = 42726407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42726011) 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 35 ways as a sum of consecutive naturals, for example, 8641 + ... + 12653.

It is an arithmetic number, because the mean of its divisors is an integer number (2122068).

Almost surely, 242726411 is an apocalyptic number.

42726411 is a deficient number, since it is larger than the sum of its proper divisors (33668037).

42726411 is a wasteful number, since it uses less digits than its factorization.

42726411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4036 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42726411 is about 6536.5442704842. The cubic root of 42726411 is about 349.5952082098.

The spelling of 42726411 in words is "forty-two million, seven hundred twenty-six thousand, four hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 3549 4013 10647 12039 28091 36117 52169 84273 156507 252819 365183 469521 678197 1095549 2034591 3286647 4747379 6103773 14242137 42726411