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5148 = 22321113
BaseRepresentation
bin1010000011100
321001200
41100130
5131043
635500
721003
oct12034
97050
105148
113960
122b90
132460
141c3a
1517d3
hex141c

5148 has 36 divisors (see below), whose sum is σ = 15288. Its totient is φ = 1440.

The previous prime is 5147. The next prime is 5153. The reversal of 5148 is 8415.

It can be divided in two parts, 51 and 48, that added together give a palindrome (99).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5148.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5148.

It is not an unprimeable number, because it can be changed into a prime (5147) 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 11 ways as a sum of consecutive naturals, for example, 390 + ... + 402.

25148 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 5148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644).

5148 is an abundant number, since it is smaller than the sum of its proper divisors (10140).

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

5148 is a wasteful number, since it uses less digits than its factorization.

5148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 29 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 5148 is about 71.7495644586. The cubic root of 5148 is about 17.2668392589.

The spelling of 5148 in words is "five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148