Search a number
-
+
8382689940 = 22352315793847
BaseRepresentation
bin1111100111010010…
…11011001010010100
3210122012111202210210
413303221123022110
5114131432034230
63503450045420
7414505455162
oct76351331224
923565452723
108382689940
1136118a0029
12175b419870
13a37903781
14597444232
15340ddeeb0
hex1f3a5b294

8382689940 has 96 divisors (see below), whose sum is σ = 24513914880. Its totient is φ = 2136283776.

The previous prime is 8382689927. The next prime is 8382689947. The reversal of 8382689940 is 499862838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382689947) 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, 2177097 + ... + 2180943.

It is an arithmetic number, because the mean of its divisors is an integer number (255353280).

Almost surely, 28382689940 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 8382689940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256957440).

8382689940 is an abundant number, since it is smaller than the sum of its proper divisors (16131224940).

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

8382689940 is a wasteful number, since it uses less digits than its factorization.

8382689940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 8382689940 is about 91557.0310789947. The cubic root of 8382689940 is about 2031.3954135394.

The spelling of 8382689940 in words is "eight billion, three hundred eighty-two million, six hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1579 3158 3847 4737 6316 7694 7895 9474 11541 15388 15790 18948 19235 23082 23685 31580 36317 38470 46164 47370 57705 72634 76940 88481 94740 108951 115410 145268 176962 181585 217902 230820 265443 353924 363170 435804 442405 530886 544755 726340 884810 1061772 1089510 1327215 1769620 2179020 2654430 5308860 6074413 12148826 18223239 24297652 30372065 36446478 60744130 72892956 91116195 121488260 139711499 182232390 279422998 364464780 419134497 558845996 698557495 838268994 1397114990 1676537988 2095672485 2794229980 4191344970 8382689940