[go: up one dir, main page]

Search a number
-
+
5768928 = 253311607
BaseRepresentation
bin10110000000011011100000
3101212002111000
4112000123200
52434101203
6323352000
7100015014
oct26003340
911762430
105768928
113290310
121b22600
13126ca89
14aa2544
1578e4a3
hex5806e0

5768928 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1745280.

The previous prime is 5768911. The next prime is 5768957. The reversal of 5768928 is 8298675.

5768928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9201 + ... + 9807.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 25768928 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 5768928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5768928 is an abundant number, since it is smaller than the sum of its proper divisors (12616992).

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

5768928 is a wasteful number, since it uses less digits than its factorization.

5768928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5768928 is about 2401.8592798080. The cubic root of 5768928 is about 179.3487577501.

The spelling of 5768928 in words is "five million, seven hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 607 792 864 1056 1188 1214 1584 1821 2376 2428 3168 3642 4752 4856 5463 6677 7284 9504 9712 10926 13354 14568 16389 19424 20031 21852 26708 29136 32778 40062 43704 53416 58272 60093 65556 80124 87408 106832 120186 131112 160248 174816 180279 213664 240372 262224 320496 360558 480744 524448 640992 721116 961488 1442232 1922976 2884464 5768928