Search a number
-
+
5838129 = 331121787
BaseRepresentation
bin10110010001010100110001
3101222121102000
4112101110301
52443310004
6325044213
7100423533
oct26212461
911877360
105838129
113328300
121b56669
13129541b
14abd853
157a4c39
hex591531

5838129 has 24 divisors (see below), whose sum is σ = 9512160. Its totient is φ = 3536280.

The previous prime is 5838101. The next prime is 5838163. The reversal of 5838129 is 9218385.

5838129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5838129 - 25 = 5838097 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 5838093 and 5838102.

It is not an unprimeable number, because it can be changed into a prime (5838229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374 + ... + 4160.

It is an arithmetic number, because the mean of its divisors is an integer number (396340).

Almost surely, 25838129 is an apocalyptic number.

It is an amenable number.

5838129 is a deficient number, since it is larger than the sum of its proper divisors (3674031).

5838129 is a wasteful number, since it uses less digits than its factorization.

5838129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1801 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5838129 is about 2416.2220510541. Note that the first 3 decimals coincide. The cubic root of 5838129 is about 180.0630334795.

The spelling of 5838129 in words is "five million, eight hundred thirty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1787 3267 5361 16083 19657 48249 58971 176913 216227 530739 648681 1946043 5838129