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55384 = 2372343
BaseRepresentation
bin1101100001011000
32210222021
431201120
53233014
61104224
7320320
oct154130
983867
1055384
113867a
1228074
131c294
1416280
1511624
hexd858

55384 has 32 divisors (see below), whose sum is σ = 126720. Its totient is φ = 22176.

The previous prime is 55381. The next prime is 55399. The reversal of 55384 is 48355.

55384 = T22 + T23 + ... + T69.

It is a happy number.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

Its product of digits (2400) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1267 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

255384 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 55384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

55384 is an abundant number, since it is smaller than the sum of its proper divisors (71336).

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

55384 is a wasteful number, since it uses less digits than its factorization.

55384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 55384 is about 235.3380547213. The cubic root of 55384 is about 38.1178245029.

The spelling of 55384 in words is "fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 602 644 989 1204 1288 1978 2408 3956 6923 7912 13846 27692 55384