Search a number
5055 = 35337
BaseRepresentation
bin1001110111111
320221020
41032333
5130210
635223
720511
oct11677
96836
105055
113886
122b13
1323bb
141bb1
151770
hex13bf

5055 has 8 divisors (see below), whose sum is σ = 8112. Its totient is φ = 2688.

The previous prime is 5051. The next prime is 5059. The reversal of 5055 is 5505.

5055 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (5051) and next prime (5059).

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

It is not a de Polignac number, because 5055 - 22 = 5051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 337 = 5055 / (5 + 0 + 5 + 5).

5055 is a modest number, since divided by 55 gives 50 as remainder.

It is a plaindrome in base 8, base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1014).

25055 is an apocalyptic number.

5055 is a deficient number, since it is larger than the sum of its proper divisors (3057).

5055 is a wasteful number, since it uses less digits than its factorization.

5055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 5055 is about 71.0985231914. The cubic root of 5055 is about 17.1622300827.

It can be divided in two parts, 50 and 55, that added together give a triangular number (105 = T14).

The spelling of 5055 in words is "five thousand, fifty-five".

Divisors: 1 3 5 15 337 1011 1685 5055