Search a number
-
+
5750623728 = 243317246061
BaseRepresentation
bin1010101101100001…
…11000110111110000
3112211202210221202000
411112300320313300
543234124424403
62350343454000
7262335331563
oct52660706760
915752727660
105750623728
1124910937a3
121145a57300
13708514245
143c7a564da
15239cc87a3
hex156c38df0

5750623728 has 120 divisors (see below), whose sum is σ = 17534882160. Its totient is φ = 1804078080.

The previous prime is 5750623727. The next prime is 5750623777. The reversal of 5750623728 is 8273260575.

5750623728 is a `hidden beast` number, since 57 + 506 + 23 + 72 + 8 = 666.

It is a super-2 number, since 2×57506237282 = 66139346522073235968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750623727) 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 23 ways as a sum of consecutive naturals, for example, 101818 + ... + 147878.

It is an arithmetic number, because the mean of its divisors is an integer number (146124018).

Almost surely, 25750623728 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 5750623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767441080).

5750623728 is an abundant number, since it is smaller than the sum of its proper divisors (11784258432).

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

5750623728 is a wasteful number, since it uses less digits than its factorization.

5750623728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46112 (or 46083 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5750623728 is about 75832.8670696289. The cubic root of 5750623728 is about 1791.5887113480.

The spelling of 5750623728 in words is "five billion, seven hundred fifty million, six hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 289 306 408 432 459 578 612 816 867 918 1156 1224 1734 1836 2312 2448 2601 3468 3672 4624 5202 6936 7344 7803 10404 13872 15606 20808 31212 41616 46061 62424 92122 124848 138183 184244 276366 368488 414549 552732 736976 783037 829098 1105464 1243647 1566074 1658196 2210928 2349111 2487294 3132148 3316392 4698222 4974588 6264296 6632784 7047333 9396444 9949176 12528592 13311629 14094666 18792888 19898352 21141999 26623258 28189332 37585776 39934887 42283998 53246516 56378664 79869774 84567996 106493032 112757328 119804661 159739548 169135992 212986064 239609322 319479096 338271984 359413983 479218644 638958192 718827966 958437288 1437655932 1916874576 2875311864 5750623728