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4444480032 = 253411129187
BaseRepresentation
bin1000010001110100…
…10110001000100000
3102110202001222102120
410020322112020200
533100241330112
62013004344240
7215065312506
oct41072261040
912422058376
104444480032
11198087a6a3
12a40545080
1355aa37a55
143023b6676
151b02c2e8c
hex108e96220

4444480032 has 48 divisors (see below), whose sum is σ = 11951325792. Its totient is φ = 1445358080.

The previous prime is 4444480031. The next prime is 4444480037. The reversal of 4444480032 is 2300844444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4444479975 and 4444480002.

It is not an unprimeable number, because it can be changed into a prime (4444480031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 560658 + ... + 568529.

It is an arithmetic number, because the mean of its divisors is an integer number (248985954).

Almost surely, 24444480032 is an apocalyptic number.

It is an amenable number.

4444480032 is an abundant number, since it is smaller than the sum of its proper divisors (7506845760).

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

4444480032 is a wasteful number, since it uses less digits than its factorization.

4444480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129241 (or 1129233 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 4444480032 is about 66666.9335727990. The cubic root of 4444480032 is about 1644.1457711982.

The spelling of 4444480032 in words is "four billion, four hundred forty-four million, four hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 1129187 2258374 3387561 4516748 6775122 9033496 13550244 18066992 27100488 36133984 46296667 54200976 92593334 108401952 138890001 185186668 277780002 370373336 555560004 740746672 1111120008 1481493344 2222240016 4444480032