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2050535250 = 23453109929
BaseRepresentation
bin111101000111000…
…1010111101010010
312021220102222120000
41322032022331102
513144414112000
6535250030430
7101546155611
oct17216127522
95256388500
102050535250
11962523535
12492878416
13268a8c28a
14156491878
15c0046000
hex7a38af52

2050535250 has 160 divisors (see below), whose sum is σ = 5793044400. Its totient is φ = 541209600.

The previous prime is 2050535239. The next prime is 2050535251. The reversal of 2050535250 is 525350502.

It can be written as a sum of positive squares in 8 ways, for example, as 3606201 + 2046929049 = 1899^2 + 45243^2 .

It is a super-2 number, since 2×20505352502 = 8409389622985125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2050535251) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2206786 + ... + 2207714.

Almost surely, 22050535250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050535250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896522200).

2050535250 is an abundant number, since it is smaller than the sum of its proper divisors (3742509150).

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

2050535250 is a wasteful number, since it uses less digits than its factorization.

2050535250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 2050535250 is about 45282.8361523436. The cubic root of 2050535250 is about 1270.4446435293. Note that the first 3 decimals are identical.

Adding to 2050535250 its reverse (525350502), we get a palindrome (2575885752).

It can be divided in two parts, 20505 and 35250, that added together give a palindrome (55755).

The spelling of 2050535250 in words is "two billion, fifty million, five hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 109 125 135 150 162 218 225 250 270 327 375 405 450 545 654 675 750 810 929 981 1090 1125 1350 1635 1858 1962 2025 2250 2725 2787 2943 3270 3375 4050 4645 4905 5450 5574 5886 6750 8175 8361 8829 9290 9810 10125 13625 13935 14715 16350 16722 17658 20250 23225 24525 25083 27250 27870 29430 40875 41805 44145 46450 49050 50166 69675 73575 75249 81750 83610 88290 101261 116125 122625 125415 139350 147150 150498 202522 209025 220725 232250 245250 250830 303783 348375 367875 376245 418050 441450 506305 607566 627075 696750 735750 752490 911349 1012610 1045125 1103625 1254150 1518915 1822698 1881225 2090250 2207250 2531525 2734047 3037830 3135375 3762450 4556745 5063050 5468094 6270750 7594575 8202141 9113490 9406125 12657625 13670235 15189150 16404282 18812250 22783725 25315250 27340470 37972875 41010705 45567450 68351175 75945750 82021410 113918625 136702350 205053525 227837250 341755875 410107050 683511750 1025267625 2050535250