Search a number
-
+
27867424 = 251325153
BaseRepresentation
bin110101001001…
…1100100100000
31221102210220211
41222103210200
524113224144
62433143504
7455604064
oct152234440
957383824
1027867424
1114804232
1293bab94
135a09400
1439b5aa4
1526a7034
hex1a93920

27867424 has 36 divisors (see below), whose sum is σ = 59420466. Its totient is φ = 12859392.

The previous prime is 27867407. The next prime is 27867431. The reversal of 27867424 is 42476872.

It can be written as a sum of positive squares in 3 ways, for example, as 15840400 + 12027024 = 3980^2 + 3468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2832 + ... + 7984.

Almost surely, 227867424 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 27867424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29710233).

27867424 is an abundant number, since it is smaller than the sum of its proper divisors (31553042).

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

27867424 is a wasteful number, since it uses less digits than its factorization.

27867424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5168 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 27867424 is about 5278.9605037356. The cubic root of 27867424 is about 303.1788782821.

The spelling of 27867424 in words is "twenty-seven million, eight hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5153 5408 10306 20612 41224 66989 82448 133978 164896 267956 535912 870857 1071824 1741714 2143648 3483428 6966856 13933712 27867424