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42767249 = 723072843
BaseRepresentation
bin1010001100100…
…1001110010001
32222110210122012
42203021032101
541422022444
64124352305
71026341600
oct243111621
988423565
1042767249
1122160738
12123a5695
138b25285
145973a37
153b4bb9e
hex28c9391

42767249 has 12 divisors (see below), whose sum is σ = 49929264. Its totient is φ = 36525384.

The previous prime is 42767213. The next prime is 42767261. The reversal of 42767249 is 94276724.

It is not a de Polignac number, because 42767249 - 28 = 42766993 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42767299) 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 11 ways as a sum of consecutive naturals, for example, 13622 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (4160772).

Almost surely, 242767249 is an apocalyptic number.

42767249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42767249 is a deficient number, since it is larger than the sum of its proper divisors (7162015).

42767249 is a wasteful number, since it uses less digits than its factorization.

42767249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its digits is 169344, while the sum is 41.

The square root of 42767249 is about 6539.6673462799. The cubic root of 42767249 is about 349.7065540387.

It can be divided in two parts, 427 and 67249, that added together give a palindrome (67676).

The spelling of 42767249 in words is "forty-two million, seven hundred sixty-seven thousand, two hundred forty-nine".

Divisors: 1 7 49 307 2149 2843 15043 19901 139307 872801 6109607 42767249