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5449985424 = 2433132342193
BaseRepresentation
bin1010001001101100…
…00010110110010000
3112001211002221112000
411010312002312100
542130144013144
62300444034000
7252025053222
oct50466026620
915054087460
105449985424
112347413794
121081232900
1368b151a60
14399b58412
1521d6e0769
hex144d82d90

5449985424 has 160 divisors (see below), whose sum is σ = 17579708160. Its totient is φ = 1603971072.

The previous prime is 5449985423. The next prime is 5449985483. The reversal of 5449985424 is 4245899445.

5449985424 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 98 + 542 + 4 = 666.

It is a super-2 number, since 2×54499854242 = 59404682243624919552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5449985423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108072 + ... + 150264.

It is an arithmetic number, because the mean of its divisors is an integer number (109873176).

Almost surely, 25449985424 is an apocalyptic number.

5449985424 is a gapful number since it is divisible by the number (54) 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 5449985424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8789854080).

5449985424 is an abundant number, since it is smaller than the sum of its proper divisors (12129722736).

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

5449985424 is a wasteful number, since it uses less digits than its factorization.

5449985424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42246 (or 42234 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 5449985424 is about 73824.0165799721. The cubic root of 5449985424 is about 1759.8072946725.

The spelling of 5449985424 in words is "five billion, four hundred forty-nine million, nine hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 117 138 144 156 184 207 208 216 234 276 299 312 351 368 414 432 468 552 598 621 624 702 828 897 936 1104 1196 1242 1404 1656 1794 1872 2392 2484 2691 2808 3312 3588 4784 4968 5382 5616 7176 8073 9936 10764 14352 16146 21528 32292 42193 43056 64584 84386 126579 129168 168772 253158 337544 379737 506316 548509 675088 759474 970439 1012632 1097018 1139211 1518948 1645527 1940878 2025264 2194036 2278422 2911317 3037896 3291054 3881756 4388072 4556844 4936581 5822634 6075792 6582108 7763512 8733951 8776144 9113688 9873162 11645268 12615707 13164216 14809743 15527024 17467902 18227376 19746324 23290536 25231414 26201853 26328432 29619486 34935804 37847121 39492648 46581072 50462828 52403706 59238972 69871608 75694242 78985296 100925656 104807412 113541363 118477944 139743216 151388484 201851312 209614824 227082726 236955888 302776968 340624089 419229648 454165452 605553936 681248178 908330904 1362496356 1816661808 2724992712 5449985424