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3991013728 = 251323449929
BaseRepresentation
bin1110110111100010…
…0000100101100000
3101022010210111121021
43231320200211200
531133144414403
61500005135224
7200621025352
oct35570404540
911263714537
103991013728
111768906759
129346ba514
134b7ac63b0
1429c0950d2
1518559c8bd
hexede20960

3991013728 has 96 divisors (see below), whose sum is σ = 8858808000. Its totient is φ = 1756102656.

The previous prime is 3991013717. The next prime is 3991013729. The reversal of 3991013728 is 8273101993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3991013729) 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, 4295568 + ... + 4296496.

It is an arithmetic number, because the mean of its divisors is an integer number (92279250).

Almost surely, 23991013728 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 3991013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429404000).

3991013728 is an abundant number, since it is smaller than the sum of its proper divisors (4867794272).

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

3991013728 is a wasteful number, since it uses less digits than its factorization.

3991013728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 3991013728 is about 63174.4705399262. The cubic root of 3991013728 is about 1586.2114258621.

The spelling of 3991013728 in words is "three billion, nine hundred ninety-one million, thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 449 598 736 898 929 1196 1796 1858 2392 3592 3716 4784 5837 7184 7432 9568 10327 11674 12077 14368 14864 20654 21367 23348 24154 29728 41308 42734 46696 48308 82616 85468 93392 96616 134251 165232 170936 186784 193232 268502 277771 330464 341872 386464 417121 537004 555542 683744 834242 1074008 1111084 1668484 2148016 2222168 3336968 4296032 4444336 5422573 6673936 8888672 9593783 10845146 13347872 19187566 21690292 38375132 43380584 76750264 86761168 124719179 153500528 173522336 249438358 307001056 498876716 997753432 1995506864 3991013728