Search a number
-
+
27231993 = 3273181229
BaseRepresentation
bin110011111100…
…0011011111001
31220020112021100
41213320123321
523432410433
62411402013
7450316365
oct147703371
956215240
1027231993
111440a888
129153309
135846109
14388c2a5
1525cdb13
hex19f86f9

27231993 has 24 divisors (see below), whose sum is σ = 40269320. Its totient is φ = 17729280.

The previous prime is 27231973. The next prime is 27232001. The reversal of 27231993 is 39913272.

It can be written as a sum of positive squares in 4 ways, for example, as 3143529 + 24088464 = 1773^2 + 4908^2 .

It is not a de Polignac number, because 27231993 - 25 = 27231961 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

Its product of digits (20412) is a multiple of the sum of its prime divisors (486).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27231973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118803 + ... + 119031.

Almost surely, 227231993 is an apocalyptic number.

It is an amenable number.

27231993 is a deficient number, since it is larger than the sum of its proper divisors (13037327).

27231993 is a wasteful number, since it uses less digits than its factorization.

27231993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 486 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 27231993 is about 5218.4282116361. The cubic root of 27231993 is about 300.8567840741.

It can be divided in two parts, 27231 and 993, that added together give a square (28224 = 1682).

The spelling of 27231993 in words is "twenty-seven million, two hundred thirty-one thousand, nine hundred ninety-three".

Divisors: 1 3 9 73 181 219 229 543 657 687 1629 2061 13213 16717 39639 41449 50151 118917 124347 150453 373041 3025777 9077331 27231993