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14848 = 2929
BaseRepresentation
bin11101000000000
3202100221
43220000
5433343
6152424
761201
oct35000
922327
1014848
1110179
128714
1369b2
1455a8
1545ed
hex3a00

14848 has 20 divisors (see below), whose sum is σ = 30690. Its totient is φ = 7168.

The previous prime is 14843. The next prime is 14851. The reversal of 14848 is 84841.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 2304 = 112^2 + 48^2 .

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

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (14843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498 + ... + 526.

214848 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 14848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345).

14848 is an abundant number, since it is smaller than the sum of its proper divisors (15842).

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

14848 is an frugal number, since it uses more digits than its factorization.

14848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 31 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 14848 is about 121.8523696938. The cubic root of 14848 is about 24.5785346055.

Subtracting from 14848 its product of digits (1024), we obtain a cube (13824 = 243).

It can be divided in two parts, 148 and 48, that added together give a square (196 = 142).

The spelling of 14848 in words is "fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848