Search a number
-
+
2724273408 = 28347711063
BaseRepresentation
bin1010001001100001…
…0001110100000000
321000212012102120010
42202120101310000
521034403222113
61130154344520
7124336641033
oct24230216400
97025172503
102724273408
111178865a2a
1264042b140
13345534ccc
141bbb5101a
1510e27c1c3
hexa2611d00

2724273408 has 144 divisors (see below), whose sum is σ = 7516164096. Its totient is φ = 875427840.

The previous prime is 2724273389. The next prime is 2724273439. The reversal of 2724273408 is 8043724272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562285 + ... + 2563347.

It is an arithmetic number, because the mean of its divisors is an integer number (52195584).

Almost surely, 22724273408 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 2724273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758082048).

2724273408 is an abundant number, since it is smaller than the sum of its proper divisors (4791890688).

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

2724273408 is a wasteful number, since it uses less digits than its factorization.

2724273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 2724273408 is about 52194.5725914103. The cubic root of 2724273408 is about 1396.6370657927.

The spelling of 2724273408 in words is "two billion, seven hundred twenty-four million, two hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 128 141 142 188 192 213 256 282 284 376 384 426 564 568 752 768 852 1063 1128 1136 1504 1704 2126 2256 2272 3008 3189 3337 3408 4252 4512 4544 6016 6378 6674 6816 8504 9024 9088 10011 12032 12756 13348 13632 17008 18048 18176 20022 25512 26696 27264 34016 36096 40044 49961 51024 53392 54528 68032 75473 80088 99922 102048 106784 136064 149883 150946 160176 199844 204096 213568 226419 272128 299766 301892 320352 399688 408192 427136 452838 599532 603784 640704 799376 816384 854272 905676 1199064 1207568 1281408 1598752 1811352 2398128 2415136 2562816 3197504 3547231 3622704 4796256 4830272 6395008 7094462 7245408 9592512 9660544 10641693 12790016 14188924 14490816 19185024 19321088 21283386 28377848 28981632 38370048 42566772 56755696 57963264 85133544 113511392 170267088 227022784 340534176 454045568 681068352 908091136 1362136704 2724273408