Search a number
-
+
5258500992 = 27339711567
BaseRepresentation
bin1001110010110111…
…00101101110000000
3111120110210112021000
410321123211232000
541232134012432
62225443532000
7244211343453
oct47133455600
914513715230
105258500992
112259317698
12102908a000
1365a589764
1437c55149a
1520b9b957c
hex1396e5b80

5258500992 has 128 divisors (see below), whose sum is σ = 15545779200. Its totient is φ = 1749911040.

The previous prime is 5258500987. The next prime is 5258500993. The reversal of 5258500992 is 2990058525.

5258500992 is a `hidden beast` number, since 5 + 2 + 58 + 500 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258500993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3354993 + ... + 3356559.

It is an arithmetic number, because the mean of its divisors is an integer number (121451400).

Almost surely, 25258500992 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 5258500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

5258500992 is an abundant number, since it is smaller than the sum of its proper divisors (10287278208).

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

5258500992 is a wasteful number, since it uses less digits than its factorization.

5258500992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5258500992 is about 72515.5224210651. The cubic root of 5258500992 is about 1738.9509014822.

The spelling of 5258500992 in words is "five billion, two hundred fifty-eight million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 971 1152 1567 1728 1942 2913 3134 3456 3884 4701 5826 6268 7768 8739 9402 11652 12536 14103 15536 17478 18804 23304 25072 26217 28206 31072 34956 37608 42309 46608 50144 52434 56412 62144 69912 75216 84618 93216 100288 104868 112824 124288 139824 150432 169236 186432 200576 209736 225648 279648 300864 338472 372864 419472 451296 559296 601728 676944 838944 902592 1118592 1353888 1521557 1677888 1805184 2707776 3043114 3355776 4564671 5415552 6086228 9129342 12172456 13694013 18258684 24344912 27388026 36517368 41082039 48689824 54776052 73034736 82164078 97379648 109552104 146069472 164328156 194759296 219104208 292138944 328656312 438208416 584277888 657312624 876416832 1314625248 1752833664 2629250496 5258500992