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55386 = 23217181
BaseRepresentation
bin1101100001011010
32210222100
431201122
53233021
61104230
7320322
oct154132
983870
1055386
1138681
1228076
131c296
1416282
1511626
hexd85a

55386 has 24 divisors (see below), whose sum is σ = 127764. Its totient is φ = 17280.

The previous prime is 55381. The next prime is 55399. The reversal of 55386 is 68355.

55386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 2025 = 231^2 + 45^2 .

It is not an unprimeable number, because it can be changed into a prime (55381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216 + ... + 396.

255386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63882).

55386 is an abundant number, since it is smaller than the sum of its proper divisors (72378).

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

55386 is a wasteful number, since it uses less digits than its factorization.

55386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 55386 is about 235.3423038895. The cubic root of 55386 is about 38.1182833281.

It can be divided in two parts, 55 and 386, that added together give a square (441 = 212).

The spelling of 55386 in words is "fifty-five thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 543 1086 1629 3077 3258 6154 9231 18462 27693 55386