Search a number
-
+
5725881240 = 23354110311299
BaseRepresentation
bin1010101010100101…
…00000001110011000
3112210001020220102120
411111102200032120
543211311144430
62344101301240
7261615121212
oct52522401630
915701226376
105725881240
112479124362
121139704820
13703360311
143c46555b2
15237a3c610
hex1554a0398

5725881240 has 128 divisors (see below), whose sum is σ = 17769024000. Its totient is φ = 1475066880.

The previous prime is 5725881229. The next prime is 5725881241. The reversal of 5725881240 is 421885275.

It is a junction number, because it is equal to n+sod(n) for n = 5725881192 and 5725881201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725881241) 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, 501111 + ... + 512409.

It is an arithmetic number, because the mean of its divisors is an integer number (138820500).

Almost surely, 25725881240 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 5725881240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884512000).

5725881240 is an abundant number, since it is smaller than the sum of its proper divisors (12043142760).

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

5725881240 is a wasteful number, since it uses less digits than its factorization.

5725881240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11457 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 5725881240 is about 75669.5529258631. The cubic root of 5725881240 is about 1789.0155359814.

The spelling of 5725881240 in words is "five billion, seven hundred twenty-five million, eight hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 103 120 123 164 205 206 246 309 328 410 412 492 515 615 618 820 824 984 1030 1230 1236 1545 1640 2060 2460 2472 3090 4120 4223 4920 6180 8446 11299 12360 12669 16892 21115 22598 25338 33784 33897 42230 45196 50676 56495 63345 67794 84460 90392 101352 112990 126690 135588 168920 169485 225980 253380 271176 338970 451960 463259 506760 677940 926518 1163797 1355880 1389777 1853036 2316295 2327594 2779554 3491391 3706072 4632590 4655188 5559108 5818985 6948885 6982782 9265180 9310376 11118216 11637970 13897770 13965564 17456955 18530360 23275940 27795540 27931128 34913910 46551880 47715677 55591080 69827820 95431354 139655640 143147031 190862708 238578385 286294062 381725416 477156770 572588124 715735155 954313540 1145176248 1431470310 1908627080 2862940620 5725881240