Search a number
-
+
2057865642 = 233721940933
BaseRepresentation
bin111101010101000…
…1000100110101010
312022102020101222000
41322222020212222
513203303200032
6540111111430
7101665366200
oct17252104652
95272211860
102057865642
1196667aa08
12495212576
1326a4579a1
1415743d070
15c09e2e7c
hex7aa889aa

2057865642 has 96 divisors (see below), whose sum is σ = 5599771200. Its totient is φ = 557002656.

The previous prime is 2057865617. The next prime is 2057865647. The reversal of 2057865642 is 2465687502.

2057865642 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 86 + 564 + 2 = 666.

It is a super-2 number, since 2×20578656422 = 8469622001048144328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2057865647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29808 + ... + 70740.

It is an arithmetic number, because the mean of its divisors is an integer number (58330950).

Almost surely, 22057865642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057865642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799885600).

2057865642 is an abundant number, since it is smaller than the sum of its proper divisors (3541905558).

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

2057865642 is a wasteful number, since it uses less digits than its factorization.

2057865642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40977 (or 40964 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2057865642 is about 45363.7040154351. The cubic root of 2057865642 is about 1271.9567335764.

The spelling of 2057865642 in words is "two billion, fifty-seven million, eight hundred sixty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2793 3591 5586 7182 8379 16758 25137 40933 50274 81866 122799 245598 286531 368397 573062 736794 777727 859593 1105191 1555454 1719186 2005717 2210382 2333181 2578779 4011434 4666362 5157558 5444089 6017151 6999543 7736337 10888178 12034302 13999086 15472674 16332267 18051453 20998629 32664534 36102906 38108623 41997258 48996801 54154359 76217246 97993602 108308718 114325869 146990403 228651738 293980806 342977607 685955214 1028932821 2057865642