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4449352720 = 24555616909
BaseRepresentation
bin1000010010011001…
…11011110000010000
3102111002020112111111
410021030323300100
533103013241340
62013301023104
7215154605551
oct41114736020
912432215444
104449352720
1119835a860a
12a420b4a94
1355ba528b7
14302cc4328
151b0936aea
hex10933bc10

4449352720 has 20 divisors (see below), whose sum is σ = 10344745260. Its totient is φ = 1779741056.

The previous prime is 4449352711. The next prime is 4449352723. The reversal of 4449352720 is 272539444.

It can be written as a sum of positive squares in 2 ways, for example, as 680375056 + 3768977664 = 26084^2 + 61392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4449352723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27808375 + ... + 27808534.

It is an arithmetic number, because the mean of its divisors is an integer number (517237263).

Almost surely, 24449352720 is an apocalyptic number.

4449352720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4449352720 is an abundant number, since it is smaller than the sum of its proper divisors (5895392540).

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

4449352720 is a wasteful number, since it uses less digits than its factorization.

4449352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55616922 (or 55616916 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 4449352720 is about 66703.4685754796. The cubic root of 4449352720 is about 1644.7464026433.

The spelling of 4449352720 in words is "four billion, four hundred forty-nine million, three hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 55616909 111233818 222467636 278084545 444935272 556169090 889870544 1112338180 2224676360 4449352720