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4440475872 = 253272202617
BaseRepresentation
bin1000010001010110…
…00100100011100000
3102110110112112202100
410020223010203200
533043230211442
62012342450400
7215016264540
oct41053044340
912413475670
104440475872
111979595278
12a3b133a00
13559c65321
14301a53320
151aec8184c
hex108ac48e0

4440475872 has 72 divisors (see below), whose sum is σ = 14431553136. Its totient is φ = 1268706816.

The previous prime is 4440475801. The next prime is 4440475873. The reversal of 4440475872 is 2785740444.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440475873) 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 11 ways as a sum of consecutive naturals, for example, 1099293 + ... + 1103324.

It is an arithmetic number, because the mean of its divisors is an integer number (200438238).

Almost surely, 24440475872 is an apocalyptic number.

4440475872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4440475872 is an abundant number, since it is smaller than the sum of its proper divisors (9991077264).

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

4440475872 is a wasteful number, since it uses less digits than its factorization.

4440475872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202640 (or 2202629 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 4440475872 is about 66636.8957260165. The cubic root of 4440475872 is about 1643.6518700940.

The spelling of 4440475872 in words is "four billion, four hundred forty million, four hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2202617 4405234 6607851 8810468 13215702 15418319 17620936 19823553 26431404 30836638 35241872 39647106 46254957 52862808 61673276 70483744 79294212 92509914 105725616 123346552 138764871 158588424 185019828 211451232 246693104 277529742 317176848 370039656 493386208 555059484 634353696 740079312 1110118968 1480158624 2220237936 4440475872