Search a number
-
+
3863268948 = 22371122318749
BaseRepresentation
bin1110011001000100…
…1100111001010100
3100222020102101201010
43212101030321110
530402444101243
61435203132220
7164510146530
oct34621147124
910866371633
103863268948
111702795160
128b9974070
134974ba276
14289120bc0
15179267433
hexe644ce54

3863268948 has 96 divisors (see below), whose sum is σ = 11289600000. Its totient is φ = 998893440.

The previous prime is 3863268907. The next prime is 3863268961. The reversal of 3863268948 is 8498623683.

It is a happy number.

It is a congruent number.

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, 196678 + ... + 215426.

It is an arithmetic number, because the mean of its divisors is an integer number (117600000).

Almost surely, 23863268948 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 3863268948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800000).

3863268948 is an abundant number, since it is smaller than the sum of its proper divisors (7426331052).

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

3863268948 is a wasteful number, since it uses less digits than its factorization.

3863268948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18997 (or 18995 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 3863268948 is about 62155.2004903854. The cubic root of 3863268948 is about 1569.1037046755.

The spelling of 3863268948 in words is "three billion, eight hundred sixty-three million, two hundred sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 223 231 308 446 462 669 892 924 1338 1561 2453 2676 3122 4683 4906 6244 7359 9366 9812 14718 17171 18732 18749 29436 34342 37498 51513 56247 68684 74996 103026 112494 131243 206052 206239 224988 262486 393729 412478 524972 618717 787458 824956 1237434 1443673 1574916 2474868 2887346 4181027 4331019 5774692 8362054 8662038 12543081 16724108 17324076 25086162 29267189 45991297 50172324 58534378 87801567 91982594 117068756 137973891 175603134 183965188 275947782 321939079 351206268 551895564 643878158 965817237 1287756316 1931634474 3863268948