Search a number
-
+
3115376082 = 2327132236361
BaseRepresentation
bin1011100110110000…
…1101110111010010
322001010010111120100
42321230031313102
522340014013312
61233045153230
7140126155050
oct27154156722
98033114510
103115376082
111359604185
1272b3bb816
133a857c900
14217a7b1d0
151337845dc
hexb9b0ddd2

3115376082 has 144 divisors (see below), whose sum is σ = 8717874048. Its totient is φ = 785790720.

The previous prime is 3115376057. The next prime is 3115376083. The reversal of 3115376082 is 2806735113.

3115376082 is a `hidden beast` number, since 3 + 1 + 15 + 37 + 608 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3115376083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 486582 + ... + 492942.

It is an arithmetic number, because the mean of its divisors is an integer number (60540792).

Almost surely, 23115376082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115376082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358937024).

3115376082 is an abundant number, since it is smaller than the sum of its proper divisors (5602497966).

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

3115376082 is a wasteful number, since it uses less digits than its factorization.

3115376082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3115376082 is about 55815.5541224845. The cubic root of 3115376082 is about 1460.5064987522.

The spelling of 3115376082 in words is "three billion, one hundred fifteen million, three hundred seventy-six thousand, eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 169 182 207 234 273 299 322 338 414 483 507 546 598 819 897 966 1014 1183 1449 1521 1638 1794 2093 2366 2691 2898 3042 3549 3887 4186 5382 6279 6361 7098 7774 10647 11661 12558 12722 18837 19083 21294 23322 27209 34983 37674 38166 44527 54418 57249 69966 81627 82693 89054 114498 133581 146303 163254 165386 244881 248079 267162 292606 400743 438909 489762 496158 578851 744237 801486 877818 1024121 1075009 1157702 1316727 1488474 1736553 1901939 2048242 2150018 2633454 3072363 3225027 3473106 3803878 5209659 5705817 6144726 6450054 7525063 9217089 9675081 10419318 11411634 13313573 15050126 17117451 18434178 19350162 22575189 24725207 26627146 34234902 39940719 45150378 49450414 67725567 74175621 79881438 119822157 135451134 148351242 173076449 222526863 239644314 346152898 445053726 519229347 1038458694 1557688041 3115376082