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55536 = 2431389
BaseRepresentation
bin1101100011110000
32211011220
431203300
53234121
61105040
7320625
oct154360
984156
1055536
11387a8
1228180
131c380
141634c
15116c6
hexd8f0

55536 has 40 divisors (see below), whose sum is σ = 156240. Its totient is φ = 16896.

The previous prime is 55529. The next prime is 55541. The reversal of 55536 is 63555.

55536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55536.

It is an unprimeable number.

55536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

255536 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 55536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

55536 is an abundant number, since it is smaller than the sum of its proper divisors (100704).

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

55536 is a wasteful number, since it uses less digits than its factorization.

55536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 2250, while the sum is 24.

The square root of 55536 is about 235.6607731465. The cubic root of 55536 is about 38.1526637884.

The spelling of 55536 in words is "fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 3471 4272 4628 6942 9256 13884 18512 27768 55536