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55344 = 2431153
BaseRepresentation
bin1101100000110000
32210220210
431200300
53232334
61104120
7320232
oct154060
983823
1055344
1138643
1228040
131c263
1416252
15115e9
hexd830

55344 has 20 divisors (see below), whose sum is σ = 143096. Its totient is φ = 18432.

The previous prime is 55343. The next prime is 55351. The reversal of 55344 is 44355.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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 55344.

It is not an unprimeable number, because it can be changed into a prime (55343) 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, 529 + ... + 624.

255344 is an apocalyptic number.

It is an amenable number.

55344 is an abundant number, since it is smaller than the sum of its proper divisors (87752).

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 (71548).

55344 is a wasteful number, since it uses less digits than its factorization.

55344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its digits is 1200, while the sum is 21.

The square root of 55344 is about 235.2530552405. The cubic root of 55344 is about 38.1086456775.

Adding to 55344 its reverse (44355), we get a palindrome (99699).

The spelling of 55344 in words is "fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1153 2306 3459 4612 6918 9224 13836 18448 27672 55344