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5686144 = 27311433
BaseRepresentation
bin10101101100001110000000
3101200212220221
4111230032000
52423424034
6321512424
766221452
oct25541600
911625827
105686144
1132340a2
121aa2714
1312411a9
14a802d2
15774bb4
hex56c380

5686144 has 32 divisors (see below), whose sum is σ = 11701440. Its totient is φ = 2749440.

The previous prime is 5686141. The next prime is 5686147. The reversal of 5686144 is 4416865.

It is an interprime number because it is at equal distance from previous prime (5686141) and next prime (5686147).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5686141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3252 + ... + 4684.

It is an arithmetic number, because the mean of its divisors is an integer number (365670).

Almost surely, 25686144 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 5686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850720).

5686144 is an abundant number, since it is smaller than the sum of its proper divisors (6015296).

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

5686144 is a wasteful number, since it uses less digits than its factorization.

5686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 5686144 is about 2384.5636917474. The cubic root of 5686144 is about 178.4867375009.

The spelling of 5686144 in words is "five million, six hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1433 1984 2866 3968 5732 11464 22928 44423 45856 88846 91712 177692 183424 355384 710768 1421536 2843072 5686144