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2450000 = 245572
BaseRepresentation
bin1001010110001001010000
311121110202202
421112021100
51111400000
6124302332
726552600
oct11261120
94543682
102450000
1114237a3
129a19a8
1367a207
1447ac00
15335dd5
hex256250

2450000 has 90 divisors (see below), whose sum is σ = 6901902. Its totient is φ = 840000.

The previous prime is 2449999. The next prime is 2450003. The reversal of 2450000 is 542.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1132096 + 1317904 = 1064^2 + 1148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 349997 + ... + 350003.

22450000 is an apocalyptic number.

2450000 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 2450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450951).

2450000 is an abundant number, since it is smaller than the sum of its proper divisors (4451902).

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

2450000 is an frugal number, since it uses more digits than its factorization.

2450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2450000 is about 1565.2475842499. The cubic root of 2450000 is about 134.8099749888.

Adding to 2450000 its reverse (542), we get a palindrome (2450542).

The spelling of 2450000 in words is "two million, four hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3125 3500 3920 4375 4900 5000 6125 6250 7000 8750 9800 10000 12250 12500 14000 17500 19600 21875 24500 25000 30625 35000 43750 49000 50000 61250 70000 87500 98000 122500 153125 175000 245000 306250 350000 490000 612500 1225000 2450000