Search a number
55636 = 2271987
BaseRepresentation
bin1101100101010100
32211022121
431211110
53240021
61105324
7321130
oct154524
984277
1055636
1138889
1228244
131c429
14163c0
1511741
hexd954

55636 has 12 divisors (see below), whose sum is σ = 111328. Its totient is φ = 23832.

The previous prime is 55633. The next prime is 55639. The reversal of 55636 is 63655.

55636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55633) and next prime (55639).

55636 is an admirable number.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 55636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 966 + ... + 1021.

255636 is an apocalyptic number.

It is an amenable number.

55636 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (55664).

55636 is a wasteful number, since it uses less digits than its factorization.

55636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1996 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 55636 is about 235.8728471020. The cubic root of 55636 is about 38.1755497165.

Subtracting from 55636 its sum of digits (25), we obtain a triangular number (55611 = T333).

It can be divided in two parts, 55 and 636, that multiplied together give a triangular number (34980 = T264).

The spelling of 55636 in words is "fifty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 1987 3974 7948 13909 27818 55636