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4128544 = 25722633
BaseRepresentation
bin1111101111111100100000
321202202022001
433233330200
52024103134
6224253344
750043400
oct17577440
97682261
104128544
11236a922
121471254
13b17234
14796800
15568414
hex3eff20

4128544 has 36 divisors (see below), whose sum is σ = 9458694. Its totient is φ = 1768704.

The previous prime is 4128539. The next prime is 4128547. The reversal of 4128544 is 4458214.

4128544 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3952144 + 176400 = 1988^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4128547) 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, 252 + ... + 2884.

Almost surely, 24128544 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 4128544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729347).

4128544 is an abundant number, since it is smaller than the sum of its proper divisors (5330150).

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

4128544 is a wasteful number, since it uses less digits than its factorization.

4128544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2642 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 4128544 is about 2031.8818863310. The cubic root of 4128544 is about 160.4226326523.

The spelling of 4128544 in words is "four million, one hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2633 5266 10532 18431 21064 36862 42128 73724 84256 129017 147448 258034 294896 516068 589792 1032136 2064272 4128544