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54205 = 537293
BaseRepresentation
bin1101001110111101
32202100121
431032331
53213310
61054541
7314014
oct151675
982317
1054205
11377a8
1227451
131b898
1415a7b
15110da
hexd3bd

54205 has 8 divisors (see below), whose sum is σ = 67032. Its totient is φ = 42048.

The previous prime is 54193. The next prime is 54217. The reversal of 54205 is 50245.

It can be divided in two parts, 5 and 4205, that multiplied together give a square (21025 = 1452).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54193) and next prime (54217).

It can be written as a sum of positive squares in 4 ways, for example, as 29241 + 24964 = 171^2 + 158^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54205 - 29 = 53693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a Zeisel number, with parameters (8, -3).

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

254205 is an apocalyptic number.

It is an amenable number.

54205 is a deficient number, since it is larger than the sum of its proper divisors (12827).

54205 is a wasteful number, since it uses less digits than its factorization.

54205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 54205 is about 232.8196727083. The cubic root of 54205 is about 37.8454014343.

The spelling of 54205 in words is "fifty-four thousand, two hundred five".

Divisors: 1 5 37 185 293 1465 10841 54205