Search a number
-
+
5724449712 = 2433173072539
BaseRepresentation
bin1010101010011010…
…00010101110110000
3112202221120011202000
411111031002232300
543210424342322
62344010454000
7261600006522
oct52515025660
915687504660
105724449712
112478336883
121139134300
13702c7b867
143c43a1a12
152378583ac
hex155342bb0

5724449712 has 160 divisors (see below), whose sum is σ = 17461382400. Its totient is φ = 1789350912.

The previous prime is 5724449699. The next prime is 5724449723. The reversal of 5724449712 is 2179444275.

5724449712 is a `hidden beast` number, since 572 + 4 + 4 + 4 + 9 + 71 + 2 = 666.

Its product of digits (564480) is a multiple of the sum of its prime factors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253339 + ... + 2255877.

It is an arithmetic number, because the mean of its divisors is an integer number (109133640).

Almost surely, 25724449712 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 5724449712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730691200).

5724449712 is an abundant number, since it is smaller than the sum of its proper divisors (11736932688).

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

5724449712 is a wasteful number, since it uses less digits than its factorization.

5724449712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2868 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 5724449712 is about 75660.0932592605. The cubic root of 5724449712 is about 1788.8664329187.

The spelling of 5724449712 in words is "five billion, seven hundred twenty-four million, four hundred forty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 307 408 432 459 612 614 816 918 921 1224 1228 1836 1842 2448 2456 2539 2763 3672 3684 4912 5078 5219 5526 7344 7368 7617 8289 10156 10438 11052 14736 15234 15657 16578 20312 20876 22104 22851 30468 31314 33156 40624 41752 43163 44208 45702 46971 60936 62628 66312 68553 83504 86326 91404 93942 121872 125256 129489 132624 137106 140913 172652 182808 187884 250512 258978 274212 281826 345304 365616 375768 388467 517956 548424 563652 690608 751536 776934 779473 1035912 1096848 1127304 1165401 1553868 1558946 2071824 2254608 2330802 2338419 3107736 3117892 4661604 4676838 6215472 6235784 7015257 9323208 9353676 12471568 13251041 14030514 18646416 18707352 21045771 26502082 28061028 37414704 39753123 42091542 53004164 56122056 79506246 84183084 106008328 112244112 119259369 159012492 168366168 212016656 238518738 318024984 336732336 357778107 477037476 636049968 715556214 954074952 1431112428 1908149904 2862224856 5724449712