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4048576 = 26721291
BaseRepresentation
bin1111011100011011000000
321121200121021
433130123000
52014023301
6222435224
746261300
oct17343300
97550537
104048576
112315834
121432b14
13ab9a0c
14775600
1554e8a1
hex3dc6c0

4048576 has 42 divisors (see below), whose sum is σ = 9352788. Its totient is φ = 1733760.

The previous prime is 4048573. The next prime is 4048589. The reversal of 4048576 is 6758404.

4048576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4048573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2491 + ... + 3781.

Almost surely, 24048576 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 4048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676394).

4048576 is an abundant number, since it is smaller than the sum of its proper divisors (5304212).

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

4048576 is a wasteful number, since it uses less digits than its factorization.

4048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4048576 is about 2012.1073530008. The cubic root of 4048576 is about 159.3801013874.

It can be divided in two parts, 4048 and 576, that added together give a square (4624 = 682).

The spelling of 4048576 in words is "four million, forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1291 1568 2582 3136 5164 9037 10328 18074 20656 36148 41312 63259 72296 82624 126518 144592 253036 289184 506072 578368 1012144 2024288 4048576