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5665728 = 263231283
BaseRepresentation
bin10101100111001111000000
3101122211220210
4111213033000
52422300403
6321234120
766105105
oct25471700
911584823
105665728
11321a822
121a92940
131234b03
14a76aac
1576db03
hex5673c0

5665728 has 56 divisors (see below), whose sum is σ = 15654528. Its totient is φ = 1805056.

The previous prime is 5665703. The next prime is 5665733. The reversal of 5665728 is 8275665.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3775 + ... + 5057.

Almost surely, 25665728 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 5665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827264).

5665728 is an abundant number, since it is smaller than the sum of its proper divisors (9988800).

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

5665728 is a wasteful number, since it uses less digits than its factorization.

5665728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1311 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 5665728 is about 2380.2789752464. The cubic root of 5665728 is about 178.2728634956.

It can be divided in two parts, 566572 and 8, that added together give a triangular number (566580 = T1064).

The spelling of 5665728 in words is "five million, six hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1283 1472 2208 2566 3849 4416 5132 7698 10264 15396 20528 29509 30792 41056 59018 61584 82112 88527 118036 123168 177054 236072 246336 354108 472144 708216 944288 1416432 1888576 2832864 5665728