Search a number
-
+
5189301 = 3213172609
BaseRepresentation
bin10011110010111010110101
3100202122101100
4103302322311
52312024201
6303120313
762052105
oct23627265
910678340
105189301
112a24887
1218a3099
1310c8cc0
14991205
156c7886
hex4f2eb5

5189301 has 24 divisors (see below), whose sum is σ = 8550360. Its totient is φ = 3004416.

The previous prime is 5189293. The next prime is 5189309. The reversal of 5189301 is 1039815.

It is an interprime number because it is at equal distance from previous prime (5189293) and next prime (5189309).

It can be written as a sum of positive squares in 4 ways, for example, as 562500 + 4626801 = 750^2 + 2151^2 .

It is not a de Polignac number, because 5189301 - 23 = 5189293 is a prime.

It is a Curzon number.

5189301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5189309) 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, 685 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (356265).

Almost surely, 25189301 is an apocalyptic number.

5189301 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5189301 is a deficient number, since it is larger than the sum of its proper divisors (3361059).

5189301 is a wasteful number, since it uses less digits than its factorization.

5189301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5189301 is about 2278.0037313402. The cubic root of 5189301 is about 173.1289203542.

The spelling of 5189301 in words is "five million, one hundred eighty-nine thousand, three hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 2609 7827 23481 33917 44353 101751 133059 305253 399177 576589 1729767 5189301