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4488464016 = 243418612
BaseRepresentation
bin1000010111000100…
…01000011010010000
3102120210211121010000
410023202020122100
533143021322031
62021215210000
7216141212631
oct41342103220
912523747100
104488464016
1119a36914a3
12a53216900
13566b97a8a
14308185888
151b40b03e6
hex10b888690

4488464016 has 75 divisors (see below), whose sum is σ = 12997901433. Its totient is φ = 1495350720.

The previous prime is 4488464011. The next prime is 4488464017. The reversal of 4488464016 is 6104648844.

The square root of 4488464016 is 66996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4822416 + 4483641600 = 2196^2 + 66960^2 .

It is not an unprimeable number, because it can be changed into a prime (4488464011) 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 14 ways as a sum of consecutive naturals, for example, 2410926 + ... + 2412786.

Almost surely, 24488464016 is an apocalyptic number.

4488464016 is the 66996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488464016

4488464016 is an abundant number, since it is smaller than the sum of its proper divisors (8509437417).

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

4488464016 is an frugal number, since it uses more digits than its factorization.

4488464016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The cubic root of 4488464016 is about 1649.5516401602.

It can be divided in two parts, 44884 and 64016, that added together give a square (108900 = 3302).

The spelling of 4488464016 in words is "four billion, four hundred eighty-eight million, four hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1861 3722 5583 7444 11166 14888 16749 22332 29776 33498 44664 50247 66996 89328 100494 133992 150741 200988 267984 301482 401976 602964 803952 1205928 2411856 3463321 6926642 10389963 13853284 20779926 27706568 31169889 41559852 55413136 62339778 83119704 93509667 124679556 166239408 187019334 249359112 280529001 374038668 498718224 561058002 748077336 1122116004 1496154672 2244232008 4488464016