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2052145212 = 2231329479947
BaseRepresentation
bin111101001010001…
…0100000000111100
312022000110210000020
41322110110000330
513200322121322
6535344332140
7101565642435
oct17224240074
95260423006
102052145212
11963423087
12493314050
13269204010
1415679048c
15c026305c
hex7a51403c

2052145212 has 96 divisors (see below), whose sum is σ = 5351270400. Its totient is φ = 607740672.

The previous prime is 2052145187. The next prime is 2052145219. The reversal of 2052145212 is 2125412502.

It is a super-2 number, since 2×20521452122 = 8422599942269049888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052145219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166523 + ... + 2167469.

It is an arithmetic number, because the mean of its divisors is an integer number (55742400).

Almost surely, 22052145212 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 2052145212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675635200).

2052145212 is an abundant number, since it is smaller than the sum of its proper divisors (3299125188).

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

2052145212 is a wasteful number, since it uses less digits than its factorization.

2052145212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2052145212 is about 45300.6093998745. The cubic root of 2052145212 is about 1270.7770498333. Note that the first 3 decimals are identical.

Adding to 2052145212 its reverse (2125412502), we get a palindrome (4177557714).

The spelling of 2052145212 in words is "two billion, fifty-two million, one hundred forty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 479 754 947 958 1131 1437 1508 1894 1916 2262 2841 2874 3788 4524 5682 5748 6227 11364 12311 12454 13891 18681 24622 24908 27463 27782 36933 37362 41673 49244 54926 55564 73866 74724 82389 83346 109852 147732 164778 166692 180583 329556 357019 361166 453613 541749 714038 722332 907226 1071057 1083498 1360839 1428076 1814452 2142114 2166996 2721678 4284228 5443356 5896969 11793938 13154777 17690907 23587876 26309554 35381814 39464331 52619108 70763628 78928662 157857324 171012101 342024202 513036303 684048404 1026072606 2052145212