Search a number
-
+
2009231952 = 243713479787
BaseRepresentation
bin111011111000010…
…0111001001010000
312012000201120002020
41313300213021100
513103330410302
6531212451440
7100535122050
oct16760471120
95160646066
102009231952
11941182782
12480a79b80
1326035a460
14150bbd560
15bb5d7ebc
hex77c27250

2009231952 has 160 divisors (see below), whose sum is σ = 6524915712. Its totient is φ = 518579712.

The previous prime is 2009231951. The next prime is 2009231963. The reversal of 2009231952 is 2591329002.

It is a super-3 number, since 3×20092319523 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009231951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200403 + ... + 210189.

Almost surely, 22009231952 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 2009231952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262457856).

2009231952 is an abundant number, since it is smaller than the sum of its proper divisors (4515683760).

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

2009231952 is a wasteful number, since it uses less digits than its factorization.

2009231952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2009231952 is about 44824.4570742357. The cubic root of 2009231952 is about 1261.8566631375.

The spelling of 2009231952 in words is "two billion, nine million, two hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 104 112 141 156 168 182 188 208 273 282 312 329 336 364 376 546 564 611 624 658 728 752 987 1092 1128 1222 1316 1456 1833 1974 2184 2256 2444 2632 3666 3948 4277 4368 4888 5264 7332 7896 8554 9776 9787 12831 14664 15792 17108 19574 25662 29328 29361 34216 39148 51324 58722 68432 68509 78296 102648 117444 127231 137018 156592 205296 205527 234888 254462 274036 381693 411054 459989 469776 508924 548072 763386 822108 890617 919978 1017848 1096144 1379967 1526772 1644216 1781234 1839956 2035696 2671851 2759934 3053544 3219923 3288432 3562468 3679912 5343702 5519868 5979857 6107088 6439846 7124936 7359824 9659769 10687404 11039736 11959714 12879692 14249872 17939571 19319538 21374808 22079472 23919428 25759384 35879142 38639076 41858999 42749616 47838856 51518768 71758284 77278152 83717998 95677712 125576997 143516568 154556304 167435996 251153994 287033136 334871992 502307988 669743984 1004615976 2009231952