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4044022304 = 257113197811
BaseRepresentation
bin1111000100001010…
…1110001000100000
3101102211112121200212
43301002232020200
531240232203204
61505141233252
7202133423330
oct36102561040
911384477625
104044022304
1117958218a3
1294a402828
134c5a9600a
142a51330c0
1518a06dc6e
hexf10ae220

4044022304 has 96 divisors (see below), whose sum is σ = 9237545856. Its totient is φ = 1706987520.

The previous prime is 4044022303. The next prime is 4044022313. The reversal of 4044022304 is 4032204404.

It is a self number, because there is not a number n which added to its sum of digits gives 4044022304.

It is not an unprimeable number, because it can be changed into a prime (4044022303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4986059 + ... + 4986869.

It is an arithmetic number, because the mean of its divisors is an integer number (96224436).

Almost surely, 24044022304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618772928).

4044022304 is an abundant number, since it is smaller than the sum of its proper divisors (5193523552).

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

4044022304 is a wasteful number, since it uses less digits than its factorization.

4044022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4044022304 is about 63592.6277488201. The cubic root of 4044022304 is about 1593.2032392435.

Adding to 4044022304 its reverse (4032204404), we get a palindrome (8076226708).

The spelling of 4044022304 in words is "four billion, forty-four million, twenty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 197 224 226 394 452 788 791 811 904 1379 1576 1582 1622 1808 2758 3152 3164 3244 3616 5516 5677 6304 6328 6488 11032 11354 12656 12976 22064 22261 22708 25312 25952 44128 44522 45416 89044 90832 91643 155827 159767 178088 181664 183286 311654 319534 356176 366572 623308 639068 641501 712352 733144 1118369 1246616 1278136 1283002 1466288 2236738 2493232 2556272 2566004 2932576 4473476 4986464 5112544 5132008 8946952 10264016 17893904 18053671 20528032 35787808 36107342 72214684 126375697 144429368 252751394 288858736 505502788 577717472 1011005576 2022011152 4044022304