Search a number
-
+
4096032 = 25342667
BaseRepresentation
bin1111101000000000100000
321201002200220
433220000200
52022033112
6223443040
746546533
oct17500040
97632626
104096032
112348456
121456480
13b054b5
14788a1a
1555d98c
hex3e8020

4096032 has 24 divisors (see below), whose sum is σ = 10752336. Its totient is φ = 1365312.

The previous prime is 4096021. The next prime is 4096033. The reversal of 4096032 is 2306904.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4095993 and 4096011.

It is not an unprimeable number, because it can be changed into a prime (4096033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21238 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (448014).

Almost surely, 24096032 is an apocalyptic number.

It is an amenable number.

4096032 is an abundant number, since it is smaller than the sum of its proper divisors (6656304).

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

4096032 is a wasteful number, since it uses less digits than its factorization.

4096032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42680 (or 42672 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 4096032 is about 2023.8656081865. The cubic root of 4096032 is about 160.0004166656. Note that the first 3 decimals are identical.

It can be divided in two parts, 409 and 6032, that added together give a triangular number (6441 = T113).

The spelling of 4096032 in words is "four million, ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42667 85334 128001 170668 256002 341336 512004 682672 1024008 1365344 2048016 4096032