Search a number
-
+
538848 = 25321871
BaseRepresentation
bin10000011100011100000
31000101011100
42003203200
5114220343
615314400
74402662
oct2034340
91011140
10538848
11338932
1221ba00
1315b35b
14100532
15a99d3
hex838e0

538848 has 36 divisors (see below), whose sum is σ = 1533168. Its totient is φ = 179520.

The previous prime is 538841. The next prime is 538871. The reversal of 538848 is 848835.

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 (36).

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 538848.

It is not an unprimeable number, because it can be changed into a prime (538841) by changing a digit.

538848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 648 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2538848 is an apocalyptic number.

It is an amenable number.

538848 is an abundant number, since it is smaller than the sum of its proper divisors (994320).

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

538848 is a wasteful number, since it uses less digits than its factorization.

538848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 538848 is about 734.0626676245. The cubic root of 538848 is about 81.3745796944.

The spelling of 538848 in words is "five hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1871 3742 5613 7484 11226 14968 16839 22452 29936 33678 44904 59872 67356 89808 134712 179616 269424 538848