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53556 = 2234463
BaseRepresentation
bin1101000100110100
32201110120
431010310
53203211
61051540
7312066
oct150464
981416
1053556
1137268
1226bb0
131b4b9
1415736
1510d06
hexd134

53556 has 12 divisors (see below), whose sum is σ = 124992. Its totient is φ = 17848.

The previous prime is 53551. The next prime is 53569. The reversal of 53556 is 65535.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 53556.

It is not an unprimeable number, because it can be changed into a prime (53551) by changing a digit.

53556 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, 2220 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

253556 is an apocalyptic number.

It is an amenable number.

53556 is an abundant number, since it is smaller than the sum of its proper divisors (71436).

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 (62496).

53556 is a wasteful number, since it uses less digits than its factorization.

53556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4468 counting only the distinct ones).

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

The square root of 53556 is about 231.4216930195. The cubic root of 53556 is about 37.6937527613.

The spelling of 53556 in words is "fifty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 4463 8926 13389 17852 26778 53556