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5744000 = 2753359
BaseRepresentation
bin10101111010010110000000
3101210211021202
4111322112000
52432302000
6323040332
766552233
oct25722600
911724252
105744000
113273609
121b100a8
131261622
14a9741a
15786dd5
hex57a580

5744000 has 64 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 2291200.

The previous prime is 5743987. The next prime is 5744003. The reversal of 5744000 is 4475.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 (5744003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15821 + ... + 16179.

Almost surely, 25744000 is an apocalyptic number.

5744000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

5744000 is an abundant number, since it is smaller than the sum of its proper divisors (8576800).

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

5744000 is an equidigital number, since it uses as much as digits as its factorization.

5744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 5744000 is about 2396.6643486312. The cubic root of 5744000 is about 179.0900579878.

Adding to 5744000 its reverse (4475), we get a palindrome (5748475).

The spelling of 5744000 in words is "five million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 359 400 500 640 718 800 1000 1436 1600 1795 2000 2872 3200 3590 4000 5744 7180 8000 8975 11488 14360 16000 17950 22976 28720 35900 44875 45952 57440 71800 89750 114880 143600 179500 229760 287200 359000 574400 718000 1148800 1436000 2872000 5744000