Search a number
-
+
4730144 = 25532789
BaseRepresentation
bin10010000010110100100000
322220022112112
4102002310200
52202331034
6245214452
755130336
oct22026440
98808475
104730144
112740911
121701428
13c98003
148b1b56
156367ce
hex482d20

4730144 has 24 divisors (see below), whose sum is σ = 9491580. Its totient is φ = 2319616.

The previous prime is 4730101. The next prime is 4730153. The reversal of 4730144 is 4410374.

It can be written as a sum of positive squares in 2 ways, for example, as 4579600 + 150544 = 2140^2 + 388^2 .

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 3 ways as a sum of consecutive naturals, for example, 302 + ... + 3090.

Almost surely, 24730144 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 4730144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745790).

4730144 is an abundant number, since it is smaller than the sum of its proper divisors (4761436).

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

4730144 is a wasteful number, since it uses less digits than its factorization.

4730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4730144 is about 2174.8894224765. The cubic root of 4730144 is about 167.8642137874.

The spelling of 4730144 in words is "four million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2789 5578 11156 22312 44624 89248 147817 295634 591268 1182536 2365072 4730144