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54288 = 24321329
BaseRepresentation
bin1101010000010000
32202110200
431100100
53214123
61055200
7314163
oct152020
982420
1054288
1137873
1227500
131b930
1415ada
1511143
hexd410

54288 has 60 divisors (see below), whose sum is σ = 169260. Its totient is φ = 16128.

The previous prime is 54287. The next prime is 54293. The reversal of 54288 is 88245.

54288 is nontrivially palindromic in base 5 and base 11.

It is a Cunningham number, because it is equal to 2332-1.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 36864 = 132^2 + 192^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (54287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1858 + ... + 1886.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

254288 is an apocalyptic number.

54288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630).

54288 is an abundant number, since it is smaller than the sum of its proper divisors (114972).

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

54288 is a wasteful number, since it uses less digits than its factorization.

54288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 54288 is about 232.9978540674. The cubic root of 54288 is about 37.8647081797.

It can be divided in two parts, 542 and 88, that added together give a triangular number (630 = T35).

The spelling of 54288 in words is "fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 3016 3393 4176 4524 6032 6786 9048 13572 18096 27144 54288