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5268384 = 2532111663
BaseRepresentation
bin10100000110001110100000
3100220122212100
4110012032200
52322042014
6304530400
762531502
oct24061640
910818770
105268384
112a79240
121920a00
131125cb4
149b1d72
156e1009
hex5063a0

5268384 has 72 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 1595520.

The previous prime is 5268299. The next prime is 5268397. The reversal of 5268384 is 4838625.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2337 + ... + 3999.

It is an arithmetic number, because the mean of its divisors is an integer number (227136).

Almost surely, 25268384 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 5268384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

5268384 is an abundant number, since it is smaller than the sum of its proper divisors (11085408).

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

5268384 is a wasteful number, since it uses less digits than its factorization.

5268384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5268384 is about 2295.2960593353. The cubic root of 5268384 is about 174.0039634452.

The spelling of 5268384 in words is "five million, two hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1663 3168 3326 4989 6652 9978 13304 14967 18293 19956 26608 29934 36586 39912 53216 54879 59868 73172 79824 109758 119736 146344 159648 164637 219516 239472 292688 329274 439032 478944 585376 658548 878064 1317096 1756128 2634192 5268384