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2825000 = 2355113
BaseRepresentation
bin1010110001101100101000
312022112011122
422301230220
51210400000
6140314412
733004103
oct12615450
95275148
102825000
11165a512
12b42a08
1377bac9
1453773a
153ac085
hex2b1b28

2825000 has 48 divisors (see below), whose sum is σ = 6679260. Its totient is φ = 1120000.

The previous prime is 2824993. The next prime is 2825003. The reversal of 2825000 is 5282.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1119364 + 1705636 = 1058^2 + 1306^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2825000.

It is not an unprimeable number, because it can be changed into a prime (2825003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24944 + ... + 25056.

22825000 is an apocalyptic number.

2825000 is a gapful number since it is divisible by the number (20) 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 2825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339630).

2825000 is an abundant number, since it is smaller than the sum of its proper divisors (3854260).

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

2825000 is an equidigital number, since it uses as much as digits as its factorization.

2825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2825000 is about 1680.7736313972. The cubic root of 2825000 is about 141.3642144063.

The spelling of 2825000 in words is "two million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 625 904 1000 1130 1250 2260 2500 2825 3125 4520 5000 5650 6250 11300 12500 14125 22600 25000 28250 56500 70625 113000 141250 282500 353125 565000 706250 1412500 2825000