Search a number
-
+
5782032 = 243240153
BaseRepresentation
bin10110000011101000010000
3101212202110100
4112003220100
52440011112
6323532400
7100101144
oct26035020
911782410
105782032
11329a143
121b2a100
131275a29
14aa7224
157932dc
hex583a10

5782032 has 30 divisors (see below), whose sum is σ = 16182062. Its totient is φ = 1927296.

The previous prime is 5782031. The next prime is 5782037. The reversal of 5782032 is 2302875.

It can be written as a sum of positive squares in only one way, i.e., 5035536 + 746496 = 2244^2 + 864^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5781987 and 5782005.

It is not an unprimeable number, because it can be changed into a prime (5782031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19933 + ... + 20220.

Almost surely, 25782032 is an apocalyptic number.

It is an amenable number.

5782032 is an abundant number, since it is smaller than the sum of its proper divisors (10400030).

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

5782032 is a wasteful number, since it uses less digits than its factorization.

5782032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40167 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5782032 is about 2404.5856191868. The cubic root of 5782032 is about 179.4844507187.

The spelling of 5782032 in words is "five million, seven hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40153 80306 120459 160612 240918 321224 361377 481836 642448 722754 963672 1445508 1927344 2891016 5782032