Search a number
-
+
27956682 = 23213373229
BaseRepresentation
bin110101010100…
…1010111001010
31221121100100200
41222221113022
524124103212
62435113030
7456425235
oct152512712
957540320
1027956682
11148652a6
129442776
135a3ac20
1439da41c
1526c36dc
hex1aa95ca

27956682 has 48 divisors (see below), whose sum is σ = 67016040. Its totient is φ = 8366976.

The previous prime is 27956659. The next prime is 27956683. The reversal of 27956682 is 28665972.

27956682 is a `hidden beast` number, since 2 + 7 + 9 + 566 + 82 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22382361 + 5574321 = 4731^2 + 2361^2 .

It is not an unprimeable number, because it can be changed into a prime (27956683) 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, 7044 + ... + 10272.

Almost surely, 227956682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27956682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33508020).

27956682 is an abundant number, since it is smaller than the sum of its proper divisors (39059358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27956682 is a wasteful number, since it uses less digits than its factorization.

27956682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3284 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 27956682 is about 5287.4078715378. The cubic root of 27956682 is about 303.5022223628.

The spelling of 27956682 in words is "twenty-seven million, nine hundred fifty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 3229 4329 6458 8658 9687 19374 29061 41977 58122 83954 119473 125931 238946 251862 358419 377793 716838 755586 1075257 1553149 2150514 3106298 4659447 9318894 13978341 27956682