Search a number
-
+
2897117982 = 2331137193683
BaseRepresentation
bin1010110010101110…
…1000001100011110
321110220102211202000
42230223220030132
521413130233412
61155251143130
7131536045053
oct25453501436
97426384660
102897117982
111257390690
1268a2a4aa6
133722a1cc5
141d6aa502a
1511e5204dc
hexacae831e

2897117982 has 128 divisors (see below), whose sum is σ = 7261125120. Its totient is φ = 848517120.

The previous prime is 2897117969. The next prime is 2897117999.

2897117982 is nontrivially palindromic in base 10.

2897117982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4241413 + ... + 4242095.

It is an arithmetic number, because the mean of its divisors is an integer number (56727540).

Almost surely, 22897117982 is an apocalyptic number.

2897117982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2897117982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630562560).

2897117982 is an abundant number, since it is smaller than the sum of its proper divisors (4364007138).

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

2897117982 is a wasteful number, since it uses less digits than its factorization.

2897117982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 2897117982 is about 53824.8825544469. The cubic root of 2897117982 is about 1425.5705903336.

The spelling of 2897117982 in words is "two billion, eight hundred ninety-seven million, one hundred seventeen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 193 198 222 297 333 386 407 579 594 666 683 814 999 1158 1221 1366 1737 1998 2049 2123 2442 3474 3663 4098 4246 5211 6147 6369 7141 7326 7513 10422 10989 12294 12738 14282 15026 18441 19107 21423 21978 22539 25271 36882 38214 42846 45078 50542 57321 64269 67617 75813 78551 114642 128538 131819 135234 151626 157102 192807 202851 227439 235653 263638 277981 385614 395457 405702 454878 471306 555962 682317 706959 790914 833943 1186371 1364634 1413918 1450009 1667886 2120877 2372742 2501829 2900018 3559113 4241754 4350027 4877303 5003658 7118226 7505487 8700054 9754606 13050081 14631909 15010974 26100162 29263818 39150243 43895727 53650333 78300486 87791454 107300666 131687181 160950999 263374362 321901998 482852997 965705994 1448558991 2897117982