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5744768 = 27371213
BaseRepresentation
bin10101111010100010000000
3101210212100012
4111322202000
52432313033
6323044052
766554411
oct25724200
911725305
105744768
113274147
121b10628
131261a93
14a97808
15787248
hex57a880

5744768 has 32 divisors (see below), whose sum is σ = 11763660. Its totient is φ = 2792448.

The previous prime is 5744749. The next prime is 5744773. The reversal of 5744768 is 8674475.

It can be written as a sum of positive squares in 2 ways, for example, as 5721664 + 23104 = 2392^2 + 152^2 .

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

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4130 + ... + 5342.

Almost surely, 25744768 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 5744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881830).

5744768 is an abundant number, since it is smaller than the sum of its proper divisors (6018892).

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

5744768 is a wasteful number, since it uses less digits than its factorization.

5744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1252 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 5744768 is about 2396.8245659622. The cubic root of 5744768 is about 179.0980393617.

The spelling of 5744768 in words is "five million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1213 2368 2426 4736 4852 9704 19408 38816 44881 77632 89762 155264 179524 359048 718096 1436192 2872384 5744768