Search a number
-
+
4143648 = 253172539
BaseRepresentation
bin1111110011101000100000
321210112000110
433303220200
52030044043
6224451320
750135415
oct17635040
97715013
104143648
112380203
121479b40
13b21082
1479c10c
1556cb33
hex3f3a20

4143648 has 48 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 1299456.

The previous prime is 4143647. The next prime is 4143673. The reversal of 4143648 is 8463414.

4143648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 (4143641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363 + ... + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 24143648 is an apocalyptic number.

4143648 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 4143648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

4143648 is an abundant number, since it is smaller than the sum of its proper divisors (7377792).

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

4143648 is a wasteful number, since it uses less digits than its factorization.

4143648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4143648 is about 2035.5952446398. The cubic root of 4143648 is about 160.6180263643.

The spelling of 4143648 in words is "four million, one hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2539 5078 7617 10156 15234 20312 30468 40624 43163 60936 81248 86326 121872 129489 172652 243744 258978 345304 517956 690608 1035912 1381216 2071824 4143648