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4238496 = 253214717
BaseRepresentation
bin10000001010110010100000
321222100010100
4100022302200
52041112441
6230502400
751012063
oct20126240
97870110
104238496
112435499
121504a00
13b552b2
147c48da
1558acb6
hex40aca0

4238496 has 36 divisors (see below), whose sum is σ = 12054042. Its totient is φ = 1412736.

The previous prime is 4238459. The next prime is 4238513. The reversal of 4238496 is 6948324.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 318096 = 1980^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a d-powerful number, because it can be written as 46 + 25 + 38 + 85 + 411 + 93 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4238496.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7071 + ... + 7646.

Almost surely, 24238496 is an apocalyptic number.

It is an amenable number.

4238496 is an abundant number, since it is smaller than the sum of its proper divisors (7815546).

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

4238496 is a wasteful number, since it uses less digits than its factorization.

4238496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14733 (or 14722 counting only the distinct ones).

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

The square root of 4238496 is about 2058.7607923214. The cubic root of 4238496 is about 161.8343070394.

The spelling of 4238496 in words is "four million, two hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14717 29434 44151 58868 88302 117736 132453 176604 235472 264906 353208 470944 529812 706416 1059624 1412832 2119248 4238496