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5689008 = 2433131013
BaseRepresentation
bin10101101100111010110000
3101201000212000
4111230322300
52424022013
6321534000
766233013
oct25547260
911630760
105689008
113236266
121aa4300
1312425a0
14a8137a
15775973
hex56ceb0

5689008 has 80 divisors (see below), whose sum is σ = 17603040. Its totient is φ = 1748736.

The previous prime is 5689007. The next prime is 5689039. The reversal of 5689008 is 8009865.

5689008 is a `hidden beast` number, since 568 + 90 + 0 + 8 = 666.

5689008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (5689007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5110 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 25689008 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 5689008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801520).

5689008 is an abundant number, since it is smaller than the sum of its proper divisors (11914032).

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

5689008 is a wasteful number, since it uses less digits than its factorization.

5689008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5689008 is about 2385.1641452948. The cubic root of 5689008 is about 178.5166992357.

The spelling of 5689008 in words is "five million, six hundred eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1013 1404 1872 2026 2808 3039 4052 5616 6078 8104 9117 12156 13169 16208 18234 24312 26338 27351 36468 39507 48624 52676 54702 72936 79014 105352 109404 118521 145872 158028 210704 218808 237042 316056 355563 437616 474084 632112 711126 948168 1422252 1896336 2844504 5689008