Search a number
-
+
5759712 = 253272857
BaseRepresentation
bin10101111110001011100000
3101211121211200
4111332023200
52433302322
6323241200
766646110
oct25761340
911747750
105759712
1132843a2
121b19200
13126881a
14a9d040
1578b8ac
hex57e2e0

5759712 has 72 divisors (see below), whose sum is σ = 18725616. Its totient is φ = 1645056.

The previous prime is 5759693. The next prime is 5759713. The reversal of 5759712 is 2179575.

5759712 is a `hidden beast` number, since 57 + 597 + 12 = 666.

5759712 is digitally balanced in base 4 and base 8, because in such bases 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 (72).

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

5759712 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588 + ... + 3444.

It is an arithmetic number, because the mean of its divisors is an integer number (260078).

Almost surely, 25759712 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 5759712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362808).

5759712 is an abundant number, since it is smaller than the sum of its proper divisors (12965904).

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

5759712 is a wasteful number, since it uses less digits than its factorization.

5759712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2869 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 5759712 is about 2399.9399992500. The cubic root of 5759712 is about 179.2532022093.

The spelling of 5759712 in words is "five million, seven hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2857 5714 8571 11428 17142 19999 22856 25713 34284 39998 45712 51426 59997 68568 79996 91424 102852 119994 137136 159992 179991 205704 239988 274272 319984 359982 411408 479976 639968 719964 822816 959952 1439928 1919904 2879856 5759712