Search a number
-
+
12823248 = 243463577
BaseRepresentation
bin110000111010…
…101011010000
3220010111012010
4300322223100
511240320443
61134502520
7213665364
oct60725320
926114163
1012823248
117269329
124364a40
13286c929
1419bb2a4
1511d4733
hexc3aad0

12823248 has 40 divisors (see below), whose sum is σ = 33255808. Its totient is φ = 4257792.

The previous prime is 12823247. The next prime is 12823267. The reversal of 12823248 is 84232821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21936 + ... + 22512.

Almost surely, 212823248 is an apocalyptic number.

It is an amenable number.

12823248 is an abundant number, since it is smaller than the sum of its proper divisors (20432560).

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

12823248 is a wasteful number, since it uses less digits than its factorization.

12823248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12823248 is about 3580.9562968570. The cubic root of 12823248 is about 234.0629533302.

The spelling of 12823248 in words is "twelve million, eight hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 463 577 926 1154 1389 1731 1852 2308 2778 3462 3704 4616 5556 6924 7408 9232 11112 13848 22224 27696 267151 534302 801453 1068604 1602906 2137208 3205812 4274416 6411624 12823248