Search a number
-
+
2739887712 = 253261263593
BaseRepresentation
bin1010001101001111…
…0101111001100000
321001221120201100200
42203103311321200
521102402401322
61131513145200
7124616442552
oct24323657140
97057521320
102739887712
111186660211
126456bb200
13348841143
141bdc574d2
151108138ac
hexa34f5e60

2739887712 has 144 divisors (see below), whose sum is σ = 7962802848. Its totient is φ = 893399040.

The previous prime is 2739887699. The next prime is 2739887729. The reversal of 2739887712 is 2177889372.

2739887712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4620088 + ... + 4620680.

It is an arithmetic number, because the mean of its divisors is an integer number (55297242).

Almost surely, 22739887712 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 2739887712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981401424).

2739887712 is an abundant number, since it is smaller than the sum of its proper divisors (5222915136).

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

2739887712 is a wasteful number, since it uses less digits than its factorization.

2739887712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 2739887712 is about 52343.9367262341. The cubic root of 2739887712 is about 1399.3002816324.

The spelling of 2739887712 in words is "two billion, seven hundred thirty-nine million, eight hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 263 288 366 488 526 549 593 732 789 976 1052 1098 1186 1464 1578 1779 1952 2104 2196 2367 2372 2928 3156 3558 4208 4392 4734 4744 5337 5856 6312 7116 8416 8784 9468 9488 10674 12624 14232 16043 17568 18936 18976 21348 25248 28464 32086 36173 37872 42696 48129 56928 64172 72346 75744 85392 96258 108519 128344 144387 144692 155959 170784 192516 217038 256688 288774 289384 311918 325557 385032 434076 467877 513376 577548 578768 623836 651114 770064 868152 935754 1155096 1157536 1247672 1302228 1403631 1540128 1736304 1871508 2310192 2495344 2604456 2807262 3472608 3743016 4620384 4990688 5208912 5614524 7486032 9513499 10417824 11229048 14972064 19026998 22458096 28540497 38053996 44916192 57080994 76107992 85621491 114161988 152215984 171242982 228323976 304431968 342485964 456647952 684971928 913295904 1369943856 2739887712