Search a number
-
+
5938848 = 2532171213
BaseRepresentation
bin10110101001111010100000
3102011201120100
4112221322200
53010020343
6331142400
7101323266
oct26517240
912151510
105938848
113396a43
121ba4a00
1312cc216
14b08436
157c49d3
hex5a9ea0

5938848 has 72 divisors (see below), whose sum is σ = 17896788. Its totient is φ = 1861632.

The previous prime is 5938847. The next prime is 5938861. The reversal of 5938848 is 8488395.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 121104 = 2412^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5938841) 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 11 ways as a sum of consecutive naturals, for example, 4290 + ... + 5502.

Almost surely, 25938848 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 5938848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8948394).

5938848 is an abundant number, since it is smaller than the sum of its proper divisors (11957940).

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

5938848 is a wasteful number, since it uses less digits than its factorization.

5938848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 5938848 is about 2436.9751742683. The cubic root of 5938848 is about 181.0926135928.

It can be divided in two parts, 5938 and 848, that added together give a triangular number (6786 = T116).

The spelling of 5938848 in words is "five million, nine hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1213 1224 1632 2426 2448 3639 4852 4896 7278 9704 10917 14556 19408 20621 21834 29112 38816 41242 43668 58224 61863 82484 87336 116448 123726 164968 174672 185589 247452 329936 349344 371178 494904 659872 742356 989808 1484712 1979616 2969424 5938848