Search a number
-
+
4800448 = 26107701
BaseRepresentation
bin10010010011111111000000
3100000212222101
4102103333000
52212103243
6250520144
755542322
oct22237700
910025871
104800448
112789714
121736054
13cc1003
148cd612
1564c54d
hex493fc0

4800448 has 28 divisors (see below), whose sum is σ = 9628632. Its totient is φ = 2374400.

The previous prime is 4800437. The next prime is 4800451. The reversal of 4800448 is 8440084.

It is a happy number.

It is a super-4 number, since 4×48004484 (a number of 28 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6498 + ... + 7198.

Almost surely, 24800448 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 4800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814316).

4800448 is an abundant number, since it is smaller than the sum of its proper divisors (4828184).

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

4800448 is a wasteful number, since it uses less digits than its factorization.

4800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4800448 is about 2190.9924691792. The cubic root of 4800448 is about 168.6917809226.

The spelling of 4800448 in words is "four million, eight hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 107 214 428 701 856 1402 1712 2804 3424 5608 6848 11216 22432 44864 75007 150014 300028 600056 1200112 2400224 4800448