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1828000 = 2553457
BaseRepresentation
bin110111110010010100000
310102212112201
412332102200
5431444000
6103102544
721352306
oct6762240
93385481
101828000
111039449
12741a54
134c0075
14358276
1526196a
hex1be4a0

1828000 has 48 divisors (see below), whose sum is σ = 4501224. Its totient is φ = 729600.

The previous prime is 1827983. The next prime is 1828003. The reversal of 1828000 is 8281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 929296 = 948^2 + 964^2 .

It is not an unprimeable number, because it can be changed into a prime (1828003) 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, 3772 + ... + 4228.

21828000 is an apocalyptic number.

1828000 is a gapful number since it is divisible by the number (10) 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 1828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250612).

1828000 is an abundant number, since it is smaller than the sum of its proper divisors (2673224).

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

1828000 is an equidigital number, since it uses as much as digits as its factorization.

1828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1828000 is about 1352.0355024924. The cubic root of 1828000 is about 122.2715442199.

The spelling of 1828000 in words is "one million, eight hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 457 500 800 914 1000 1828 2000 2285 3656 4000 4570 7312 9140 11425 14624 18280 22850 36560 45700 57125 73120 91400 114250 182800 228500 365600 457000 914000 1828000