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5768032 = 251723461
BaseRepresentation
bin10110000000001101100000
3101212001020211
4112000031200
52434034112
6323343504
7100012264
oct26001540
911761224
105768032
11328a676
121b21b94
13126c54a
14aa20a4
1578e0a7
hex580360

5768032 has 48 divisors (see below), whose sum is σ = 12573792. Its totient is φ = 2590720.

The previous prime is 5768011. The next prime is 5768033. The reversal of 5768032 is 2308675.

It is a junction number, because it is equal to n+sod(n) for n = 5767985 and 5768003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12282 + ... + 12742.

It is an arithmetic number, because the mean of its divisors is an integer number (261954).

Almost surely, 25768032 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 5768032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286896).

5768032 is an abundant number, since it is smaller than the sum of its proper divisors (6805760).

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

5768032 is a wasteful number, since it uses less digits than its factorization.

5768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5768032 is about 2401.6727503971. The cubic root of 5768032 is about 179.3394720962.

The spelling of 5768032 in words is "five million, seven hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 461 544 736 782 922 1564 1844 3128 3688 6256 7376 7837 10603 12512 14752 15674 21206 31348 42412 62696 84824 125392 169648 180251 250784 339296 360502 721004 1442008 2884016 5768032