Search a number
-
+
55744 = 261367
BaseRepresentation
bin1101100111000000
32211110121
431213000
53240434
61110024
7321343
oct154700
984417
1055744
1138977
1228314
131c4b0
141645a
15117b4
hexd9c0

55744 has 28 divisors (see below), whose sum is σ = 120904. Its totient is φ = 25344.

The previous prime is 55733. The next prime is 55763. The reversal of 55744 is 44755.

It is a congruent number.

It is an unprimeable 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, 799 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (4318).

255744 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 55744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60452).

55744 is an abundant number, since it is smaller than the sum of its proper divisors (65160).

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

55744 is a wasteful number, since it uses less digits than its factorization.

55744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 2800, while the sum is 25.

The square root of 55744 is about 236.1016730140. The cubic root of 55744 is about 38.2002357377.

The spelling of 55744 in words is "fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 4288 6968 13936 27872 55744