Search a number
-
+
5408768 = 21119139
BaseRepresentation
bin10100101000100000000000
3101011210102202
4110220200000
52341040033
6311532332
763655001
oct24504000
911153382
105408768
113064762
12198a0a8
131174b71
14a0b1a8
1571c8e8
hex528800

5408768 has 48 divisors (see below), whose sum is σ = 11466000. Its totient is φ = 2543616.

The previous prime is 5408719. The next prime is 5408773. The reversal of 5408768 is 8678045.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38843 + ... + 38981.

It is an arithmetic number, because the mean of its divisors is an integer number (238875).

Almost surely, 25408768 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 5408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733000).

5408768 is an abundant number, since it is smaller than the sum of its proper divisors (6057232).

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

5408768 is a wasteful number, since it uses less digits than its factorization.

5408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 5408768 is about 2325.6758157576. The cubic root of 5408768 is about 175.5359677149.

The spelling of 5408768 in words is "five million, four hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 139 152 256 278 304 512 556 608 1024 1112 1216 2048 2224 2432 2641 4448 4864 5282 8896 9728 10564 17792 19456 21128 35584 38912 42256 71168 84512 142336 169024 284672 338048 676096 1352192 2704384 5408768