Search a number
-
+
5782864 = 243189131
BaseRepresentation
bin10110000011110101010000
3101212210121011
4112003311100
52440022424
6323540304
7100103443
oct26036520
911783534
105782864
11329a82a
121b2a694
131276219
14aa765a
15793694
hex583d50

5782864 has 40 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 2745600.

The previous prime is 5782853. The next prime is 5782891. The reversal of 5782864 is 4682875.

It is a d-powerful number, because it can be written as 56 + 78 + 82 + 211 + 82 + 6 + 44 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44079 + ... + 44209.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 25782864 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 5782864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

5782864 is an abundant number, since it is smaller than the sum of its proper divisors (6002096).

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

5782864 is a wasteful number, since it uses less digits than its factorization.

5782864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 5782864 is about 2404.7586157450. The cubic root of 5782864 is about 179.4930592206.

The spelling of 5782864 in words is "five million, seven hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 89 124 131 178 248 262 356 496 524 712 1048 1424 2096 2759 4061 5518 8122 11036 11659 16244 22072 23318 32488 44144 46636 64976 93272 186544 361429 722858 1445716 2891432 5782864