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27912729 = 31319139271
BaseRepresentation
bin110101001111…
…0101000011001
31221112010001210
41222132220121
524121201404
62434133333
7456153135
oct152365031
957463053
1027912729
1114835279
129421249
135a23c10
1439c83c5
1526b5689
hex1a9ea19

27912729 has 32 divisors (see below), whose sum is σ = 42649600. Its totient is φ = 16096320.

The previous prime is 27912707. The next prime is 27912739. The reversal of 27912729 is 92721972.

27912729 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 27912729 - 25 = 27912697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27912739) 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 31 ways as a sum of consecutive naturals, for example, 102864 + ... + 103134.

It is an arithmetic number, because the mean of its divisors is an integer number (1332800).

Almost surely, 227912729 is an apocalyptic number.

It is an amenable number.

27912729 is a deficient number, since it is larger than the sum of its proper divisors (14736871).

27912729 is a wasteful number, since it uses less digits than its factorization.

27912729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its digits is 31752, while the sum is 39.

The square root of 27912729 is about 5283.2498521270. The cubic root of 27912729 is about 303.3430853310.

The spelling of 27912729 in words is "twenty-seven million, nine hundred twelve thousand, seven hundred twenty-nine".

Divisors: 1 3 13 19 39 57 139 247 271 417 741 813 1807 2641 3523 5149 5421 7923 10569 15447 34333 37669 66937 102999 113007 200811 489697 715711 1469091 2147133 9304243 27912729