Search a number
-
+
5758252872 = 23337411091451
BaseRepresentation
bin1010101110011011…
…11111011101001000
3112212022011112221220
411113031333131020
543243103042442
62351215202040
7262460225151
oct52715773510
915768145856
105758252872
112495424679
121148516320
13709c85928
143c8a80928
1523a7d3eec
hex15737f748

5758252872 has 128 divisors (see below), whose sum is σ = 15294787200. Its totient is φ = 1804032000.

The previous prime is 5758252867. The next prime is 5758252873. The reversal of 5758252872 is 2782528575.

It is a happy number.

It is a super-2 number, since 2×57582528722 = 66314952275792496768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5758252873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3967747 + ... + 3969197.

It is an arithmetic number, because the mean of its divisors is an integer number (119490525).

Almost surely, 25758252872 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 5758252872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647393600).

5758252872 is an abundant number, since it is smaller than the sum of its proper divisors (9536534328).

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

5758252872 is a wasteful number, since it uses less digits than its factorization.

5758252872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1643 counting only the distinct ones).

The product of its digits is 3136000, while the sum is 51.

The square root of 5758252872 is about 75883.1527547452. The cubic root of 5758252872 is about 1792.3806398388.

The spelling of 5758252872 in words is "five billion, seven hundred fifty-eight million, two hundred fifty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 109 111 123 148 164 218 222 246 296 327 328 436 444 492 654 872 888 984 1308 1451 1517 2616 2902 3034 4033 4353 4469 4551 5804 6068 8066 8706 8938 9102 11608 12099 12136 13407 16132 17412 17876 18204 24198 26814 32264 34824 35752 36408 48396 53628 53687 59491 96792 107256 107374 118982 158159 161061 165353 178473 214748 237964 316318 322122 330706 356946 429496 474477 475928 496059 632636 644244 661412 713892 948954 992118 1265272 1288488 1322824 1427784 1897908 1984236 2201167 3795816 3968472 4402334 5851883 6484519 6603501 8804668 11703766 12969038 13207002 17555649 17609336 19453557 23407532 25938076 26414004 35111298 38907114 46815064 51876152 52828008 70222596 77814228 140445192 155628456 239927203 479854406 719781609 959708812 1439563218 1919417624 2879126436 5758252872