Search a number
-
+
2052475668 = 22325371109139
BaseRepresentation
bin111101001010110…
…0100101100010100
312022001002120022100
41322111210230110
513200413210133
6535355402100
7101601520035
oct17225445424
95261076270
102052475668
11963629391
12493453330
132692bb559
14156838a8c
15c02cae13
hex7a564b14

2052475668 has 144 divisors (see below), whose sum is σ = 5448643200. Its totient is φ = 651006720.

The previous prime is 2052475639. The next prime is 2052475669. The reversal of 2052475668 is 8665742502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052475669) 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, 14765943 + ... + 14766081.

It is an arithmetic number, because the mean of its divisors is an integer number (37837800).

Almost surely, 22052475668 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 2052475668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724321600).

2052475668 is an abundant number, since it is smaller than the sum of its proper divisors (3396167532).

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

2052475668 is a wasteful number, since it uses less digits than its factorization.

2052475668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

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

The square root of 2052475668 is about 45304.2566212050. The cubic root of 2052475668 is about 1270.8452570536.

The spelling of 2052475668 in words is "two billion, fifty-two million, four hundred seventy-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 71 106 109 139 142 159 212 213 218 278 284 318 327 417 426 436 477 556 636 639 654 834 852 954 981 1251 1278 1308 1668 1908 1962 2502 2556 3763 3924 5004 5777 7367 7526 7739 9869 11289 11554 14734 15052 15151 15478 17331 19738 22101 22578 23108 23217 29468 29607 30302 30956 33867 34662 39476 44202 45156 45453 46434 51993 59214 60604 66303 67734 69324 69651 88404 88821 90906 92868 103986 118428 132606 135468 136359 139302 177642 181812 207972 265212 272718 278604 355284 410167 523057 545436 803003 820334 1046114 1075721 1230501 1569171 1606006 1640668 2092228 2151442 2409009 2461002 3138342 3212012 3227163 3691503 4302884 4707513 4818018 4922004 6276684 6454326 7227027 7383006 9415026 9636036 9681489 12908652 14454054 14766012 18830052 19362978 28908108 38725956 57013213 114026426 171039639 228052852 342079278 513118917 684158556 1026237834 2052475668