Search a number
-
+
5666688 = 27324919
BaseRepresentation
bin10101100111011110000000
3101122220020100
4111213132000
52422313223
6321242400
766110646
oct25473600
911586210
105666688
113220515
121a93400
131235391
14a77196
1576e043
hex567780

5666688 has 48 divisors (see below), whose sum is σ = 16309800. Its totient is φ = 1888512.

The previous prime is 5666681. The next prime is 5666701. The reversal of 5666688 is 8866665.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×56666882 = 64222705778688, which contains 22 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666681) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1308 + ... + 3611.

Almost surely, 25666688 is an apocalyptic number.

It is an amenable number.

5666688 is an abundant number, since it is smaller than the sum of its proper divisors (10643112).

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

5666688 is a wasteful number, since it uses less digits than its factorization.

5666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4924 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 5666688 is about 2380.4806237397. The cubic root of 5666688 is about 178.2829317684.

The spelling of 5666688 in words is "five million, six hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4919 9838 14757 19676 29514 39352 44271 59028 78704 88542 118056 157408 177084 236112 314816 354168 472224 629632 708336 944448 1416672 1888896 2833344 5666688