[go: up one dir, main page]

Search a number
-
+
55848 = 23313179
BaseRepresentation
bin1101101000101000
32211121110
431220220
53241343
61110320
7321552
oct155050
984543
1055848
1138a61
12283a0
131c560
14164d2
1511833
hexda28

55848 has 32 divisors (see below), whose sum is σ = 151200. Its totient is φ = 17088.

The previous prime is 55843. The next prime is 55849. The reversal of 55848 is 84855.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55843) by changing a digit.

55848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

255848 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 55848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

55848 is an abundant number, since it is smaller than the sum of its proper divisors (95352).

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

55848 is a wasteful number, since it uses less digits than its factorization.

55848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 55848 is about 236.3218144819. The cubic root of 55848 is about 38.2239773446.

It can be divided in two parts, 558 and 48, that added together give a palindrome (606).

The spelling of 55848 in words is "fifty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 179 312 358 537 716 1074 1432 2148 2327 4296 4654 6981 9308 13962 18616 27924 55848