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4048144 = 245032
BaseRepresentation
bin1111011100010100010000
321121200000021
433130110100
52014020034
6222433224
746260112
oct17342420
97550007
104048144
112315481
121432814
13ab9769
147753b2
1554e6b4
hex3dc510

4048144 has 15 divisors (see below), whose sum is σ = 7858903. Its totient is φ = 2020048.

The previous prime is 4048129. The next prime is 4048171. The reversal of 4048144 is 4418404.

It is a happy number.

The square root of 4048144 is 2012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7797 + ... + 8299.

Almost surely, 24048144 is an apocalyptic number.

4048144 is the 2012-nd square number.

It is an amenable number.

4048144 is a deficient number, since it is larger than the sum of its proper divisors (3810759).

4048144 is an frugal number, since it uses more digits than its factorization.

4048144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The cubic root of 4048144 is about 159.3744323445.

Multiplying 4048144 by its sum of digits (25), we get a square (101203600 = 100602).

Multiplying 4048144 by its reverse (4418404), we get a square (17886335642176 = 42292242).

It can be divided in two parts, 40 and 48144, that added together give a palindrome (48184).

The spelling of 4048144 in words is "four million, forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 503 1006 2012 4024 8048 253009 506018 1012036 2024072 4048144