Search a number
-
+
5688528 = 243373203
BaseRepresentation
bin10101101100110011010000
3101201000012020
4111230303100
52424013103
6321531440
766231426
oct25546320
911630166
105688528
11323596a
121aa3b80
1312422c1
14a81116
15775753
hex56ccd0

5688528 has 40 divisors (see below), whose sum is σ = 15097248. Its totient is φ = 1844352.

The previous prime is 5688517. The next prime is 5688539. The reversal of 5688528 is 8258865.

5688528 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5688517) and next prime (5688539).

It is a self number, because there is not a number n which added to its sum of digits gives 5688528.

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, 175 + ... + 3377.

Almost surely, 25688528 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 5688528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548624).

5688528 is an abundant number, since it is smaller than the sum of its proper divisors (9408720).

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

5688528 is a wasteful number, since it uses less digits than its factorization.

5688528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3245 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 5688528 is about 2385.0635211667. The cubic root of 5688528 is about 178.5116784174.

It can be divided in two parts, 5688 and 528, that added together give a triangular number (6216 = T111).

The spelling of 5688528 in words is "five million, six hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3203 6406 9609 12812 19218 25624 38436 51248 76872 118511 153744 237022 355533 474044 711066 948088 1422132 1896176 2844264 5688528