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4490000 = 2454449
BaseRepresentation
bin10001001000001100010000
322110010010022
4101020030100
52122140000
6240123012
753110244
oct21101420
98403108
104490000
112597449
121606468
13c12908
1484c424
155da585
hex448310

4490000 has 50 divisors (see below), whose sum is σ = 10894950. Its totient is φ = 1792000.

The previous prime is 4489999. The next prime is 4490029. The reversal of 4490000 is 944.

It can be written as a sum of positive squares in 5 ways, for example, as 1517824 + 2972176 = 1232^2 + 1724^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9776 + ... + 10224.

It is an arithmetic number, because the mean of its divisors is an integer number (217899).

Almost surely, 24490000 is an apocalyptic number.

4490000 is a gapful number since it is divisible by the number (40) 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 4490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447475).

4490000 is an abundant number, since it is smaller than the sum of its proper divisors (6404950).

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

4490000 is an equidigital number, since it uses as much as digits as its factorization.

4490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4490000 is about 2118.9620100417. The cubic root of 4490000 is about 164.9739781431.

Adding to 4490000 its reverse (944), we get a palindrome (4490944).

It can be divided in two parts, 4 and 490000, that multiplied together give a square (1960000 = 14002).

The spelling of 4490000 in words is "four million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 449 500 625 898 1000 1250 1796 2000 2245 2500 3592 4490 5000 7184 8980 10000 11225 17960 22450 35920 44900 56125 89800 112250 179600 224500 280625 449000 561250 898000 1122500 2245000 4490000