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54808 = 23131731
BaseRepresentation
bin1101011000011000
32210011221
431120120
53223213
61101424
7315535
oct153030
983157
1054808
11381a6
1227874
131bc40
1415d8c
151138d
hexd618

54808 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 23040.

The previous prime is 54799. The next prime is 54829. The reversal of 54808 is 80845.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

54808 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 7 ways as a sum of consecutive naturals, for example, 1753 + ... + 1783.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

254808 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 54808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

54808 is an abundant number, since it is smaller than the sum of its proper divisors (66152).

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

54808 is a wasteful number, since it uses less digits than its factorization.

54808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 54808 is about 234.1110847440. Note that the first 3 decimals coincide. The cubic root of 54808 is about 37.9852204759.

The spelling of 54808 in words is "fifty-four thousand, eight hundred eight".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 1054 1612 1768 2108 3224 4216 6851 13702 27404 54808