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42766911 = 32114191031
BaseRepresentation
bin1010001100100…
…1001000111111
32222110210011200
42203021020333
541422020121
64124350543
71026340605
oct243111077
988423150
1042766911
1122160460
12123a5453
138b25085
145973875
153b4ba26
hex28c923f

42766911 has 24 divisors (see below), whose sum is σ = 67616640. Its totient is φ = 25832400.

The previous prime is 42766819. The next prime is 42766961. The reversal of 42766911 is 11966724.

42766911 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 42766911 - 210 = 42765887 is a prime.

It is a super-5 number, since 5×427669115 (a number of 39 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42766961) 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 23 ways as a sum of consecutive naturals, for example, 40966 + ... + 41996.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 242766911 is an apocalyptic number.

42766911 is a deficient number, since it is larger than the sum of its proper divisors (24849729).

42766911 is a wasteful number, since it uses less digits than its factorization.

42766911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

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

The square root of 42766911 is about 6539.6415039358. The cubic root of 42766911 is about 349.7056327642.

The spelling of 42766911 in words is "forty-two million, seven hundred sixty-six thousand, nine hundred eleven".

Divisors: 1 3 9 11 33 99 419 1031 1257 3093 3771 4609 9279 11341 13827 34023 41481 102069 431989 1295967 3887901 4751879 14255637 42766911