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5707728 = 2432133049
BaseRepresentation
bin10101110001011111010000
3101201222112100
4111301133100
52430121403
6322200400
766341415
oct25613720
911658470
105707728
113249334
121ab3100
13124ac70
14a8810c
1577b2a3
hex5717d0

5707728 has 60 divisors (see below), whose sum is σ = 17208100. Its totient is φ = 1755648.

The previous prime is 5707721. The next prime is 5707747. The reversal of 5707728 is 8277075.

5707728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 4981824 = 852^2 + 2232^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5707692 and 5707701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5707721) 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, 348 + ... + 3396.

Almost surely, 25707728 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 5707728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604050).

5707728 is an abundant number, since it is smaller than the sum of its proper divisors (11500372).

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

5707728 is a wasteful number, since it uses less digits than its factorization.

5707728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 5707728 is about 2389.0851805660. The cubic root of 5707728 is about 178.7122912615.

The spelling of 5707728 in words is "five million, seven hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3049 6098 9147 12196 18294 24392 27441 36588 39637 48784 54882 73176 79274 109764 118911 146352 158548 219528 237822 317096 356733 439056 475644 634192 713466 951288 1426932 1902576 2853864 5707728