Search a number
-
+
5182368 = 253371459
BaseRepresentation
bin10011110001001110100000
3100202021212120
4103301032200
52311313433
6303024240
762022642
oct23611640
910667776
105182368
112a1a654
12189b080
1310c5ab9
1498c892
156c57b3
hex4f13a0

5182368 has 48 divisors (see below), whose sum is σ = 13980960. Its totient is φ = 1679616.

The previous prime is 5182367. The next prime is 5182379. The reversal of 5182368 is 8632815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5182367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2823 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 25182368 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 5182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990480).

5182368 is an abundant number, since it is smaller than the sum of its proper divisors (8798592).

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

5182368 is a wasteful number, since it uses less digits than its factorization.

5182368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 5182368 is about 2276.4814956419. The cubic root of 5182368 is about 173.0517848694.

The spelling of 5182368 in words is "five million, one hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1459 1776 2918 3552 4377 5836 8754 11672 17508 23344 35016 46688 53983 70032 107966 140064 161949 215932 323898 431864 647796 863728 1295592 1727456 2591184 5182368