Search a number
-
+
5759993322 = 233415634621
BaseRepresentation
bin1010101110101001…
…01000010111101010
3112212102102222102000
411113110220113222
543244024241242
62351320351430
7262511064306
oct52724502752
915772388360
105759993322
112496403266
121149015576
1370a444b95
143c8db4d06
1523aa29a4c
hex1575285ea

5759993322 has 64 divisors (see below), whose sum is σ = 13138312320. Its totient is φ = 1869436800.

The previous prime is 5759993321. The next prime is 5759993353. The reversal of 5759993322 is 2233999575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5759993321) 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 31 ways as a sum of consecutive naturals, for example, 1244172 + ... + 1248792.

It is an arithmetic number, because the mean of its divisors is an integer number (205286130).

Almost surely, 25759993322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5759993322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569156160).

5759993322 is an abundant number, since it is smaller than the sum of its proper divisors (7378318998).

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

5759993322 is a wasteful number, since it uses less digits than its factorization.

5759993322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5230 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 54.

The square root of 5759993322 is about 75894.6198488404. The cubic root of 5759993322 is about 1792.5612058721.

The spelling of 5759993322 in words is "five billion, seven hundred fifty-nine million, nine hundred ninety-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 563 738 1107 1126 1689 2214 3378 4621 5067 9242 10134 13863 15201 23083 27726 30402 41589 46166 69249 83178 124767 138498 189461 207747 249534 378922 415494 568383 623241 1136766 1246482 1705149 2601623 3410298 5115447 5203246 7804869 10230894 15609738 23414607 46829214 70243821 106666543 140487642 213333086 319999629 639999258 959998887 1919997774 2879996661 5759993322