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5782880 = 25547769
BaseRepresentation
bin10110000011110101100000
3101212210121202
4112003311200
52440023010
6323540332
7100103465
oct26036540
911783552
105782880
11329a844
121b2a6a8
13127622c
14aa766c
157936a5
hex583d60

5782880 has 48 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 2260992.

The previous prime is 5782853. The next prime is 5782891. The reversal of 5782880 is 882875.

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, 7136 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 25782880 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 5782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

5782880 is an abundant number, since it is smaller than the sum of its proper divisors (8188000).

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

5782880 is a wasteful number, since it uses less digits than its factorization.

5782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 5782880 is about 2404.7619424800. The cubic root of 5782880 is about 179.4932247606.

The spelling of 5782880 in words is "five million, seven hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 769 940 1504 1538 1880 3076 3760 3845 6152 7520 7690 12304 15380 24608 30760 36143 61520 72286 123040 144572 180715 289144 361430 578288 722860 1156576 1445720 2891440 5782880