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4485728 = 251341263
BaseRepresentation
bin10001000111001001100000
322102220021002
4101013021200
52122020403
6240051132
753061632
oct21071140
98386232
104485728
112594215
121603aa8
13c109a0
1484aa52
155d9188
hex447260

4485728 has 48 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 2012160.

The previous prime is 4485721. The next prime is 4485737. The reversal of 4485728 is 8275844.

It is a d-powerful number, because it can be written as 45 + 411 + 84 + 56 + 73 + 213 + 86 .

It is a junction number, because it is equal to n+sod(n) for n = 4485691 and 4485700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485721) 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, 16925 + ... + 17187.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 24485728 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 4485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

4485728 is an abundant number, since it is smaller than the sum of its proper divisors (5293888).

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

4485728 is a wasteful number, since it uses less digits than its factorization.

4485728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

The square root of 4485728 is about 2117.9537294285. The cubic root of 4485728 is about 164.9216401720.

The spelling of 4485728 in words is "four million, four hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 263 328 416 526 533 656 1052 1066 1312 2104 2132 3419 4208 4264 6838 8416 8528 10783 13676 17056 21566 27352 43132 54704 86264 109408 140179 172528 280358 345056 560716 1121432 2242864 4485728