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54400 = 275217
BaseRepresentation
bin1101010010000000
32202121211
431102000
53220100
61055504
7314413
oct152200
982554
1054400
1137965
1227594
131b9b8
1415b7a
15111ba
hexd480

54400 has 48 divisors (see below), whose sum is σ = 142290. Its totient is φ = 20480.

The previous prime is 54377. The next prime is 54401. The reversal of 54400 is 445.

54400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 7744 = 216^2 + 88^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54401) 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 5 ways as a sum of consecutive naturals, for example, 3192 + ... + 3208.

254400 is an apocalyptic number.

54400 is a gapful number since it is divisible by the number (50) 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 54400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71145).

54400 is an abundant number, since it is smaller than the sum of its proper divisors (87890).

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

54400 is a wasteful number, since it uses less digits than its factorization.

54400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 54400 is about 233.2380757938. The cubic root of 54400 is about 37.8907294874.

Adding to 54400 its reverse (445), we get a palindrome (54845).

It can be divided in two parts, 54 and 400, that added together give a palindrome (454).

The spelling of 54400 in words is "fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400