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4243456 = 214737
BaseRepresentation
bin10000001100000000000000
321222120221001
4100030000000
52041242311
6230541344
751032410
oct20140000
97876831
104243456
112439198
121507854
13b57629
147c6640
1558c4c1
hex40c000

4243456 has 60 divisors (see below), whose sum is σ = 9961168. Its totient is φ = 1769472.

The previous prime is 4243453. The next prime is 4243469. The reversal of 4243456 is 6543424.

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

It is a d-powerful number, because it can be written as 43 + 221 + 46 + 311 + 46 + 59 + 65 .

Its product of digits (11520) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (4243453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114670 + ... + 114706.

Almost surely, 24243456 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 4243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980584).

4243456 is an abundant number, since it is smaller than the sum of its proper divisors (5717712).

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

4243456 is an frugal number, since it uses more digits than its factorization.

4243456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 4243456 is about 2059.9650482472. The cubic root of 4243456 is about 161.8974100248.

Subtracting 4243456 from its reverse (6543424), we obtain a cube (2299968 = 1323).

The spelling of 4243456 in words is "four million, two hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2048 2072 2368 3584 4096 4144 4736 7168 8192 8288 9472 14336 16384 16576 18944 28672 33152 37888 57344 66304 75776 114688 132608 151552 265216 303104 530432 606208 1060864 2121728 4243456