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4424728 = 237112653
BaseRepresentation
bin10000111000010000011000
322022210120211
4100320100120
52113042403
6234500504
752416040
oct20702030
98283524
104424728
112552400
121594734
13bbbca9
14832720
155c606d
hex438418

4424728 has 48 divisors (see below), whose sum is σ = 10437840. Its totient is φ = 1721280.

The previous prime is 4424699. The next prime is 4424729. The reversal of 4424728 is 8274244.

4424728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4424728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424729) 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 11 ways as a sum of consecutive naturals, for example, 6450 + ... + 7102.

It is an arithmetic number, because the mean of its divisors is an integer number (217455).

Almost surely, 24424728 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 4424728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218920).

4424728 is an abundant number, since it is smaller than the sum of its proper divisors (6013112).

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

4424728 is a wasteful number, since it uses less digits than its factorization.

4424728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 4424728 is about 2103.5037437571. The cubic root of 4424728 is about 164.1706532167.

The spelling of 4424728 in words is "four million, four hundred twenty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 653 847 968 1306 1694 2612 3388 4571 5224 6776 7183 9142 14366 18284 28732 36568 50281 57464 79013 100562 158026 201124 316052 402248 553091 632104 1106182 2212364 4424728