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5882000 = 245317173
BaseRepresentation
bin10110011100000010010000
3102001211120212
4112130002100
53001211000
6330023252
7100665455
oct26340220
912054525
105882000
113358263
121b77b28
1312ac397
14ad182c
157b2c35
hex59c090

5882000 has 80 divisors (see below), whose sum is σ = 15146352. Its totient is φ = 2201600.

The previous prime is 5881999. The next prime is 5882011. The reversal of 5882000 is 2885.

It can be written as a sum of positive squares in 8 ways, for example, as 274576 + 5607424 = 524^2 + 2368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33914 + ... + 34086.

Almost surely, 25882000 is an apocalyptic number.

5882000 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 5882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573176).

5882000 is an abundant number, since it is smaller than the sum of its proper divisors (9264352).

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

5882000 is a wasteful number, since it uses less digits than its factorization.

5882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 5882000 is about 2425.2834885844. The cubic root of 5882000 is about 180.5129401946.

Adding to 5882000 its reverse (2885), we get a palindrome (5884885).

It can be divided in two parts, 5 and 882000, that multiplied together give a square (4410000 = 21002).

The spelling of 5882000 in words is "five million, eight hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 173 200 250 272 340 346 400 425 500 680 692 850 865 1000 1360 1384 1700 1730 2000 2125 2768 2941 3400 3460 4250 4325 5882 6800 6920 8500 8650 11764 13840 14705 17000 17300 21625 23528 29410 34000 34600 43250 47056 58820 69200 73525 86500 117640 147050 173000 235280 294100 346000 367625 588200 735250 1176400 1470500 2941000 5882000