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4484224844 = 22111713145763
BaseRepresentation
bin1000010110100011…
…11101011101001100
3102120111212020001122
410023101331131030
533140430143334
62020544300112
7216060165551
oct41321753514
912514766048
104484224844
1119a1256550
12a51911638
135660423a8
143077a0a28
151b3a2432e
hex10b47d74c

4484224844 has 48 divisors (see below), whose sum is σ = 9133762176. Its totient is φ = 1903699200.

The previous prime is 4484224841. The next prime is 4484224859.

4484224844 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4484224795 and 4484224804.

It is not an unprimeable number, because it can be changed into a prime (4484224841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75107 + ... + 120869.

It is an arithmetic number, because the mean of its divisors is an integer number (190286712).

Almost surely, 24484224844 is an apocalyptic number.

4484224844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4484224844 is an abundant number, since it is smaller than the sum of its proper divisors (4649537332).

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

4484224844 is a wasteful number, since it uses less digits than its factorization.

4484224844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45926 (or 45924 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 44.

The square root of 4484224844 is about 66964.3550256403. The cubic root of 4484224844 is about 1649.0321650713.

The spelling of 4484224844 in words is "four billion, four hundred eighty-four million, two hundred twenty-four thousand, eight hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 131 187 262 374 524 748 1441 2227 2882 4454 5764 8908 24497 45763 48994 91526 97988 183052 503393 777971 1006786 1555942 2013572 3111884 5994953 8557681 11989906 17115362 23979812 34230724 65944483 101914201 131888966 203828402 263777932 407656804 1121056211 2242112422 4484224844