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55016 = 2313232
BaseRepresentation
bin1101011011101000
32210110122
431123220
53230031
61102412
7316253
oct153350
983418
1055016
1138375
1227a08
131c070
141609a
151147b
hexd6e8

55016 has 24 divisors (see below), whose sum is σ = 116130. Its totient is φ = 24288.

The previous prime is 55009. The next prime is 55021. The reversal of 55016 is 61055.

55016 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 2116 = 230^2 + 46^2 .

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54985 and 55003.

It is an unprimeable number.

55016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2381 + ... + 2403.

255016 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 55016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58065).

55016 is an abundant number, since it is smaller than the sum of its proper divisors (61114).

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

55016 is a wasteful number, since it uses less digits than its factorization.

55016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 55016 is about 234.5548976253. The cubic root of 55016 is about 38.0332119616.

The spelling of 55016 in words is "fifty-five thousand, sixteen".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 529 598 1058 1196 2116 2392 4232 6877 13754 27508 55016