Search a number
-
+
5744016 = 2432113353
BaseRepresentation
bin10101111010010110010000
3101210211022100
4111322112100
52432302031
6323040400
766552255
oct25722620
911724270
105744016
113273623
121b10100
131261635
14a9742c
15786de6
hex57a590

5744016 has 60 divisors (see below), whose sum is σ = 16263468. Its totient is φ = 1892352.

The previous prime is 5744003. The next prime is 5744017. The reversal of 5744016 is 6104475.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 4822416 = 960^2 + 2196^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5744017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16096 + ... + 16448.

Almost surely, 25744016 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 5744016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131734).

5744016 is an abundant number, since it is smaller than the sum of its proper divisors (10519452).

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

5744016 is a wasteful number, since it uses less digits than its factorization.

5744016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5744016 is about 2396.6676866015. The cubic root of 5744016 is about 179.0902242737.

The spelling of 5744016 in words is "five million, seven hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 353 452 678 706 904 1017 1059 1356 1412 1808 2034 2118 2712 2824 3177 4068 4236 5424 5648 6354 8136 8472 12708 16272 16944 25416 39889 50832 79778 119667 159556 239334 319112 359001 478668 638224 718002 957336 1436004 1914672 2872008 5744016