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5788000 = 25531447
BaseRepresentation
bin10110000101000101100000
3101220001122101
4112011011200
52440204000
6324020144
7100124431
oct26050540
911801571
105788000
1132a3679
121b31654
13127866a
14aa9488
15794e6a
hex585160

5788000 has 48 divisors (see below), whose sum is σ = 14230944. Its totient is φ = 2313600.

The previous prime is 5787983. The next prime is 5788001. The reversal of 5788000 is 8875.

It is a self number, because there is not a number n which added to its sum of digits gives 5788000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3277 + ... + 4723.

It is an arithmetic number, because the mean of its divisors is an integer number (296478).

Almost surely, 25788000 is an apocalyptic number.

5788000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115472).

5788000 is an abundant number, since it is smaller than the sum of its proper divisors (8442944).

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

5788000 is a wasteful number, since it uses less digits than its factorization.

5788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 5788000 is about 2405.8262613913. The cubic root of 5788000 is about 179.5461818929.

The spelling of 5788000 in words is "five million, seven hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1447 2000 2894 4000 5788 7235 11576 14470 23152 28940 36175 46304 57880 72350 115760 144700 180875 231520 289400 361750 578800 723500 1157600 1447000 2894000 5788000