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55588 = 22131069
BaseRepresentation
bin1101100100100100
32211020211
431210210
53234323
61105204
7321031
oct154444
984224
1055588
1138845
1228204
131c3c0
1416388
151170d
hexd924

55588 has 12 divisors (see below), whose sum is σ = 104860. Its totient is φ = 25632.

The previous prime is 55579. The next prime is 55589. The reversal of 55588 is 88555.

It is a happy number.

55588 is nontrivially palindromic in base 5.

55588 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 39204 = 128^2 + 198^2 .

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55589) by changing a digit.

55588 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, 483 + ... + 586.

255588 is an apocalyptic number.

It is an amenable number.

55588 is a deficient number, since it is larger than the sum of its proper divisors (49272).

55588 is a wasteful number, since it uses less digits than its factorization.

55588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its digits is 8000, while the sum is 31.

The square root of 55588 is about 235.7710754100. The cubic root of 55588 is about 38.1645678965.

The spelling of 55588 in words is "fifty-five thousand, five hundred eighty-eight".

Divisors: 1 2 4 13 26 52 1069 2138 4276 13897 27794 55588