Search a number
-
+
4506073344 = 28321955761
BaseRepresentation
bin1000011001001010…
…10011100100000000
3102122000222020120100
410030211103210000
533212023321334
62023044442400
7216443664033
oct41445234400
912560866510
104506073344
111a02619663
12a590a9400
1356a721cb6
1430a64b01a
151b58dcc99
hex10c953900

4506073344 has 54 divisors (see below), whose sum is σ = 12992126966. Its totient is φ = 1502023680.

The previous prime is 4506073339. The next prime is 4506073381. The reversal of 4506073344 is 4433706054.

It is a happy number.

4506073344 is a `hidden beast` number, since 4 + 5 + 0 + 607 + 3 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3634642944 + 871430400 = 60288^2 + 29520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4506073299 and 4506073308.

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 5 ways as a sum of consecutive naturals, for example, 975577 + ... + 980184.

Almost surely, 24506073344 is an apocalyptic number.

It is an amenable number.

4506073344 is an abundant number, since it is smaller than the sum of its proper divisors (8486053622).

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

4506073344 is a wasteful number, since it uses less digits than its factorization.

4506073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955783 (or 1955766 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4506073344 is about 67127.2920949445. The cubic root of 4506073344 is about 1651.7060216725.

Adding to 4506073344 its reverse (4433706054), we get a palindrome (8939779398).

The spelling of 4506073344 in words is "four billion, five hundred six million, seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1955761 3911522 5867283 7823044 11734566 15646088 17601849 23469132 31292176 35203698 46938264 62584352 70407396 93876528 125168704 140814792 187753056 250337408 281629584 375506112 500674816 563259168 751012224 1126518336 1502024448 2253036672 4506073344