Search a number
-
+
5768532 = 22327112081
BaseRepresentation
bin10110000000010101010100
3101212001221100
4112000111110
52434043112
6323350100
7100013610
oct26002524
911761840
105768532
11328aa90
121b22330
13126c843
14aa2340
1578e2dc
hex580554

5768532 has 72 divisors (see below), whose sum is σ = 18188352. Its totient is φ = 1497600.

The previous prime is 5768531. The next prime is 5768549. The reversal of 5768532 is 2358675.

5768532 is a `hidden beast` number, since 576 + 85 + 3 + 2 = 666.

It is a super-2 number, since 2×57685322 = 66551922870048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 78 + 6 + 83 + 55 + 34 + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732 + ... + 3812.

It is an arithmetic number, because the mean of its divisors is an integer number (252616).

Almost surely, 25768532 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 5768532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094176).

5768532 is an abundant number, since it is smaller than the sum of its proper divisors (12419820).

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

5768532 is a wasteful number, since it uses less digits than its factorization.

5768532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2104 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5768532 is about 2401.7768422566. The cubic root of 5768532 is about 179.3446539413.

The spelling of 5768532 in words is "five million, seven hundred sixty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2081 2772 4162 6243 8324 12486 14567 18729 22891 24972 29134 37458 43701 45782 58268 68673 74916 87402 91564 131103 137346 160237 174804 206019 262206 274692 320474 412038 480711 524412 640948 824076 961422 1442133 1922844 2884266 5768532