Search a number
-
+
5338938 = 2311411973
BaseRepresentation
bin10100010111011100111010
3101001020122110
4110113130322
52331321223
6310233150
763244263
oct24273472
911036573
105338938
113017250
1219557b6
13114c147
149cd96a
15706d93
hex51773a

5338938 has 32 divisors (see below), whose sum is σ = 11938752. Its totient is φ = 1577600.

The previous prime is 5338919. The next prime is 5338939. The reversal of 5338938 is 8398335.

It is a junction number, because it is equal to n+sod(n) for n = 5338896 and 5338905.

It is not an unprimeable number, because it can be changed into a prime (5338939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 3692.

It is an arithmetic number, because the mean of its divisors is an integer number (373086).

Almost surely, 25338938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969376).

5338938 is an abundant number, since it is smaller than the sum of its proper divisors (6599814).

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

5338938 is a wasteful number, since it uses less digits than its factorization.

5338938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030.

The product of its digits is 77760, while the sum is 39.

The square root of 5338938 is about 2310.6142040592. The cubic root of 5338938 is about 174.7772731128. Note that the first 3 decimals are identical.

The spelling of 5338938 in words is "five million, three hundred thirty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 1973 2706 3946 5919 11838 21703 43406 65109 80893 130218 161786 242679 485358 889823 1779646 2669469 5338938