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4243968 = 2933307
BaseRepresentation
bin10000001100001000000000
321222121122000
4100030020000
52041301333
6230544000
751034041
oct20141000
97877560
104243968
112439613
121508000
13b57931
147c68c8
1558c713
hex40c200

4243968 has 80 divisors (see below), whose sum is σ = 12603360. Its totient is φ = 1410048.

The previous prime is 4243961. The next prime is 4243969. The reversal of 4243968 is 8693424.

It is a happy number.

It is a super-2 number, since 2×42439682 = 36022528770048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (4243961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13671 + ... + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (157542).

Almost surely, 24243968 is an apocalyptic number.

4243968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680).

4243968 is an abundant number, since it is smaller than the sum of its proper divisors (8359392).

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

4243968 is an equidigital number, since it uses as much as digits as its factorization.

4243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 312 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4243968 is about 2060.0893184520. The cubic root of 4243968 is about 161.9039210809.

The spelling of 4243968 in words is "four million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 307 384 432 512 576 614 768 864 921 1152 1228 1536 1728 1842 2304 2456 2763 3456 3684 4608 4912 5526 6912 7368 8289 9824 11052 13824 14736 16578 19648 22104 29472 33156 39296 44208 58944 66312 78592 88416 117888 132624 157184 176832 235776 265248 353664 471552 530496 707328 1060992 1414656 2121984 4243968