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55888 = 247499
BaseRepresentation
bin1101101001010000
32211122221
431221100
53242023
61110424
7321640
oct155120
984587
1055888
1138a98
1228414
131c591
1416520
151185d
hexda50

55888 has 20 divisors (see below), whose sum is σ = 124000. Its totient is φ = 23904.

The previous prime is 55871. The next prime is 55889. The reversal of 55888 is 88855.

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55889) by changing a digit.

55888 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 3 ways as a sum of consecutive naturals, for example, 138 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (6200).

255888 is an apocalyptic number.

It is an amenable number.

55888 is an abundant number, since it is smaller than the sum of its proper divisors (68112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62000).

55888 is a wasteful number, since it uses less digits than its factorization.

55888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 12800, while the sum is 34.

The square root of 55888 is about 236.4064296926. The cubic root of 55888 is about 38.2331008836.

It can be divided in two parts, 558 and 88, that added together give a palindrome (646).

The spelling of 55888 in words is "fifty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 499 998 1996 3493 3992 6986 7984 13972 27944 55888