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54800 = 2452137
BaseRepresentation
bin1101011000010000
32210011122
431120100
53223200
61101412
7315524
oct153020
983148
1054800
1138199
1227868
131bc35
1415d84
1511385
hexd610

54800 has 30 divisors (see below), whose sum is σ = 132618. Its totient is φ = 21760.

The previous prime is 54799. The next prime is 54829. The reversal of 54800 is 845.

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 50176 = 68^2 + 224^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 332 + ... + 468.

254800 is an apocalyptic number.

54800 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 54800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66309).

54800 is an abundant number, since it is smaller than the sum of its proper divisors (77818).

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

54800 is a wasteful number, since it uses less digits than its factorization.

54800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 54800 is about 234.0939982144. The cubic root of 54800 is about 37.9833722266.

The spelling of 54800 in words is "fifty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 274 400 548 685 1096 1370 2192 2740 3425 5480 6850 10960 13700 27400 54800