Search a number
-
+
6874848 = 253373109
BaseRepresentation
bin11010001110011011100000
3110221021112000
4122032123200
53224443343
6403204000
7112302201
oct32163340
913837460
106874848
1139761a2
122376600
131569276
14cad5a8
1590bed3
hex68e6e0

6874848 has 96 divisors (see below), whose sum is σ = 20512800. Its totient is φ = 2239488.

The previous prime is 6874843. The next prime is 6874871. The reversal of 6874848 is 8484786.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6874841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63018 + ... + 63126.

It is an arithmetic number, because the mean of its divisors is an integer number (213675).

Almost surely, 26874848 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 6874848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10256400).

6874848 is an abundant number, since it is smaller than the sum of its proper divisors (13637952).

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

6874848 is a wasteful number, since it uses less digits than its factorization.

6874848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 6874848 is about 2621.9931350025. The cubic root of 6874848 is about 190.1462216974.

The spelling of 6874848 in words is "six million, eight hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 109 144 146 216 218 219 288 292 327 432 436 438 584 654 657 864 872 876 981 1168 1308 1314 1744 1752 1962 1971 2336 2616 2628 2943 3488 3504 3924 3942 5232 5256 5886 7008 7848 7884 7957 10464 10512 11772 15696 15768 15914 21024 23544 23871 31392 31536 31828 47088 47742 63072 63656 71613 94176 95484 127312 143226 190968 214839 254624 286452 381936 429678 572904 763872 859356 1145808 1718712 2291616 3437424 6874848