Search a number
-
+
8023248 = 243255717
BaseRepresentation
bin11110100110110011010000
3120002121211100
4132212303100
54023220443
6443544400
7125124252
oct36466320
916077740
108023248
11458aa92
12282b100
13187bbac
1410cbcd2
15a873d3
hex7a6cd0

8023248 has 30 divisors (see below), whose sum is σ = 22454354. Its totient is φ = 2674368.

The previous prime is 8023247. The next prime is 8023259. The reversal of 8023248 is 8423208.

8023248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 138384 = 2808^2 + 372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27715 + ... + 28002.

Almost surely, 28023248 is an apocalyptic number.

It is an amenable number.

8023248 is an abundant number, since it is smaller than the sum of its proper divisors (14431106).

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

8023248 is a wasteful number, since it uses less digits than its factorization.

8023248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55731 (or 55722 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8023248 is about 2832.5338479884. The cubic root of 8023248 is about 200.1935459727.

The spelling of 8023248 in words is "eight million, twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55717 111434 167151 222868 334302 445736 501453 668604 891472 1002906 1337208 2005812 2674416 4011624 8023248