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4493003944 = 23112133071163
BaseRepresentation
bin1000010111100110…
…11100110010101000
3102121010101020201111
410023303130302220
533200202111234
62021500400104
7216224621602
oct41363346250
912533336644
104493003944
1119a6202400
12a54846034
13567ac7320
14308a08172
151b46aa664
hex10bcdcca8

4493003944 has 96 divisors (see below), whose sum is σ = 10013240160. Its totient is φ = 1877420160.

The previous prime is 4493003939. The next prime is 4493003981.

4493003944 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4493003897 and 4493003906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862707 + ... + 3863869.

It is an arithmetic number, because the mean of its divisors is an integer number (104304585).

Almost surely, 24493003944 is an apocalyptic number.

4493003944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4493003944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006620080).

4493003944 is an abundant number, since it is smaller than the sum of its proper divisors (5520236216).

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

4493003944 is a wasteful number, since it uses less digits than its factorization.

4493003944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 4493003944 is about 67029.8735192004. The cubic root of 4493003944 is about 1650.1076077968.

The spelling of 4493003944 in words is "four billion, four hundred ninety-three million, three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 307 484 572 614 968 1144 1163 1228 1573 2326 2456 3146 3377 3991 4652 6292 6754 7982 9304 12584 12793 13508 15119 15964 25586 27016 30238 31928 37147 43901 51172 60476 74294 87802 102344 120952 140723 148588 166309 175604 281446 297176 332618 351208 357041 482911 562892 665236 714082 965822 1125784 1330472 1428164 1829399 1931644 2856328 3658798 3863288 3927451 4641533 7317596 7854902 9283066 14635192 15709804 18566132 31419608 37132264 43201961 51056863 86403922 102113726 172807844 204227452 345615688 408454904 561625493 1123250986 2246501972 4493003944