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4243712 = 28112137
BaseRepresentation
bin10000001100000100000000
321222121021112
4100030010000
52041244322
6230542452
751033224
oct20140400
97877245
104243712
112439400
121507a28
13b57795
147c6784
1558c5e2
hex40c100

4243712 has 54 divisors (see below), whose sum is σ = 9378894. Its totient is φ = 1914880.

The previous prime is 4243711. The next prime is 4243721. The reversal of 4243712 is 2173424.

It can be written as a sum of positive squares in only one way, i.e., 3748096 + 495616 = 1936^2 + 704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243711) 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, 30908 + ... + 31044.

Almost surely, 24243712 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 4243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689447).

4243712 is an abundant number, since it is smaller than the sum of its proper divisors (5135182).

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

4243712 is a wasteful number, since it uses less digits than its factorization.

4243712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 4243712 is about 2060.0271842867. The cubic root of 4243712 is about 161.9006656183.

The spelling of 4243712 in words is "four million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 137 176 242 256 274 352 484 548 704 968 1096 1408 1507 1936 2192 2816 3014 3872 4384 6028 7744 8768 12056 15488 16577 17536 24112 30976 33154 35072 48224 66308 96448 132616 192896 265232 385792 530464 1060928 2121856 4243712