Search a number
-
+
2055896964 = 22341122292
BaseRepresentation
bin111101010001010…
…0111111110000100
312022021112101110000
41322202213332010
513202302200324
6540001001300
7101642556462
oct17242477604
95267471400
102055896964
11965555900
12494623230
13269c188a4
14157089832
15c07549c9
hex7a8a7f84

2055896964 has 135 divisors (see below), whose sum is σ = 5933440821. Its totient is φ = 620278560.

The previous prime is 2055896959. The next prime is 2055897043. The reversal of 2055896964 is 4696985502.

It is a happy number.

The square root of 2055896964 is 45342.

It is a perfect power (a square), and thus also a powerful number.

2055896964 is a `hidden beast` number, since 20 + 558 + 9 + 6 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1914762564 + 141134400 = 43758^2 + 11880^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2055896964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8977602 + ... + 8977830.

Almost surely, 22055896964 is an apocalyptic number.

2055896964 is the 45342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055896964

2055896964 is an abundant number, since it is smaller than the sum of its proper divisors (3877543857).

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

2055896964 is a wasteful number, since it uses less digits than its factorization.

2055896964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The cubic root of 2055896964 is about 1271.5509940685.

The spelling of 2055896964 in words is "two billion, fifty-five million, eight hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 229 242 297 324 363 396 458 484 594 687 726 891 916 1089 1188 1374 1452 1782 2061 2178 2519 2748 3267 3564 4122 4356 5038 6183 6534 7557 8244 9801 10076 12366 13068 15114 18549 19602 22671 24732 27709 30228 37098 39204 45342 52441 55418 68013 74196 83127 90684 104882 110836 136026 157323 166254 204039 209764 249381 272052 314646 332508 408078 471969 498762 576851 629292 748143 816156 943938 997524 1153702 1415907 1496286 1730553 1887876 2244429 2307404 2831814 2992572 3461106 4247721 4488858 5191659 5663628 6345361 6922212 8495442 8977716 10383318 12690722 15574977 16990884 19036083 20766636 25381444 31149954 38072166 46724931 57108249 62299908 76144332 93449862 114216498 171324747 186899724 228432996 342649494 513974241 685298988 1027948482 2055896964