Search a number
-
+
27986208 = 253377879
BaseRepresentation
bin110101011000…
…0100100100000
31221122211212020
41222300210200
524131024313
62435501440
7456610305
oct152604440
957584766
1027986208
11148854a8
129457880
135a4b4b3
143a070ac
1526cc323
hex1ab0920

27986208 has 48 divisors (see below), whose sum is σ = 75458880. Its totient is φ = 9075456.

The previous prime is 27986201. The next prime is 27986213. The reversal of 27986208 is 80268972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27986208.

It is not an unprimeable number, because it can be changed into a prime (27986201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388 + ... + 7491.

It is an arithmetic number, because the mean of its divisors is an integer number (1572060).

Almost surely, 227986208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37729440).

27986208 is an abundant number, since it is smaller than the sum of its proper divisors (47472672).

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

27986208 is a wasteful number, since it uses less digits than its factorization.

27986208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 27986208 is about 5290.1992401043. The cubic root of 27986208 is about 303.6090311002.

The spelling of 27986208 in words is "twenty-seven million, nine hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 7879 15758 23637 31516 47274 63032 94548 126064 189096 252128 291523 378192 583046 756384 874569 1166092 1749138 2332184 3498276 4664368 6996552 9328736 13993104 27986208