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5333328 = 24327111337
BaseRepresentation
bin10100010110000101010000
3101000221221200
4110112011100
52331131303
6310151200
763222030
oct24260520
911027850
105333328
113013010
121952500
131149720
149cb8c0
157053a3
hex516150

5333328 has 240 divisors, whose sum is σ = 20582016. Its totient is φ = 1244160.

The previous prime is 5333327. The next prime is 5333329. The reversal of 5333328 is 8233335.

It is a happy number.

5333328 is a `hidden beast` number, since 5 + 333 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (5333327) and next prime (5333329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5333327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144126 + ... + 144162.

Almost surely, 25333328 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 5333328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291008).

5333328 is an abundant number, since it is smaller than the sum of its proper divisors (15248688).

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

5333328 is a wasteful number, since it uses less digits than its factorization.

5333328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 5333328 is about 2309.3999220577. The cubic root of 5333328 is about 174.7160347085.

It can be divided in two parts, 53333 and 28, that added together give a square (53361 = 2312).

The spelling of 5333328 in words is "five million, three hundred thirty-three thousand, three hundred twenty-eight".