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5284384 = 25731761
BaseRepresentation
bin10100001010001000100000
3100221110210221
4110022020200
52323100014
6305132424
762626240
oct24121040
910843727
105284384
112a8a266
12192a114
131130371
149b7b20
156e5b24
hex50a220

5284384 has 48 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 2188800.

The previous prime is 5284373. The next prime is 5284387. The reversal of 5284384 is 4834825.

It is a d-powerful number, because it can be written as 5 + 213 + 83 + 410 + 33 + 85 + 411 .

It is not an unprimeable number, because it can be changed into a prime (5284387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6564 + ... + 7324.

It is an arithmetic number, because the mean of its divisors is an integer number (256032).

Almost surely, 25284384 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 5284384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

5284384 is an abundant number, since it is smaller than the sum of its proper divisors (7005152).

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

5284384 is a wasteful number, since it uses less digits than its factorization.

5284384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 5284384 is about 2298.7788062360. The cubic root of 5284384 is about 174.1799345320.

The spelling of 5284384 in words is "five million, two hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 761 868 992 1522 1736 3044 3472 5327 6088 6944 10654 12176 21308 23591 24352 42616 47182 85232 94364 165137 170464 188728 330274 377456 660548 754912 1321096 2642192 5284384