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5761728 = 263271429
BaseRepresentation
bin10101111110101011000000
3101211201121100
4111332223000
52433333403
6323254400
766655020
oct25765300
911751540
105761728
113285965
121b1a400
13126970b
14a9da80
1578c2a3
hex57eac0

5761728 has 84 divisors (see below), whose sum is σ = 18887440. Its totient is φ = 1645056.

The previous prime is 5761687. The next prime is 5761729. The reversal of 5761728 is 8271675.

5761728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

5761728 is a modest number, since divided by 1728 gives 576 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 5761692 and 5761701.

It is not an unprimeable number, because it can be changed into a prime (5761729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3318 + ... + 4746.

Almost surely, 25761728 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 5761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443720).

5761728 is an abundant number, since it is smaller than the sum of its proper divisors (13125712).

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

5761728 is a wasteful number, since it uses less digits than its factorization.

5761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1441 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 5761728 is about 2400.3599730040. The cubic root of 5761728 is about 179.2741136890.

It can be divided in two parts, 576 and 1728, that added together give a square (2304 = 482).

The spelling of 5761728 in words is "five million, seven hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 1429 2016 2858 4032 4287 5716 8574 10003 11432 12861 17148 20006 22864 25722 30009 34296 40012 45728 51444 60018 68592 80024 90027 91456 102888 120036 137184 160048 180054 205776 240072 274368 320096 360108 411552 480144 640192 720216 823104 960288 1440432 1920576 2880864 5761728