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5738368 = 27127353
BaseRepresentation
bin10101111000111110000000
3101210112120011
4111320332000
52432111433
6322554304
766526636
oct25707600
911715504
105738368
11326a359
121b08994
13125bbac
14a95356
157853cd
hex578f80

5738368 has 32 divisors (see below), whose sum is σ = 11554560. Its totient is φ = 2838528.

The previous prime is 5738353. The next prime is 5738377. The reversal of 5738368 is 8638375.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5738368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16080 + ... + 16432.

It is an arithmetic number, because the mean of its divisors is an integer number (361080).

Almost surely, 25738368 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 5738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777280).

5738368 is an abundant number, since it is smaller than the sum of its proper divisors (5816192).

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

5738368 is a wasteful number, since it uses less digits than its factorization.

5738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 5738368 is about 2395.4890941100. The cubic root of 5738368 is about 179.0315061632.

The spelling of 5738368 in words is "five million, seven hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 353 508 706 1016 1412 2032 2824 4064 5648 8128 11296 16256 22592 44831 45184 89662 179324 358648 717296 1434592 2869184 5738368