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4828064 = 25312157
BaseRepresentation
bin10010011010101110100000
3100002021212012
4102122232200
52213444224
6251252052
756015663
oct22325640
910067765
104828064
1127a843a
12174a028
131000757
148d96da
1565580e
hex49aba0

4828064 has 36 divisors (see below), whose sum is σ = 9884322. Its totient is φ = 2321280.

The previous prime is 4828049. The next prime is 4828067. The reversal of 4828064 is 4608284.

It can be written as a sum of positive squares in only one way, i.e., 4443664 + 384400 = 2108^2 + 620^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4828064.

It is not an unprimeable number, because it can be changed into a prime (4828067) 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, 30674 + ... + 30830.

Almost surely, 24828064 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 4828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942161).

4828064 is an abundant number, since it is smaller than the sum of its proper divisors (5056258).

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

4828064 is a wasteful number, since it uses less digits than its factorization.

4828064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4828064 is about 2197.2855981870. The cubic root of 4828064 is about 169.0146457436.

The spelling of 4828064 in words is "four million, eight hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 157 248 314 496 628 961 992 1256 1922 2512 3844 4867 5024 7688 9734 15376 19468 30752 38936 77872 150877 155744 301754 603508 1207016 2414032 4828064