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449228025 = 36521572
BaseRepresentation
bin11010110001101…
…010110011111001
31011022022011000000
4122301222303321
51410000244100
6112324303213
714063242461
oct3261526371
91138264000
10449228025
11210639734
12106541b09
13720b94cc
144393aba1
1529689900
hex1ac6acf9

449228025 has 63 divisors (see below), whose sum is σ = 840535581. Its totient is φ = 238062240.

The previous prime is 449228023. The next prime is 449228047. The reversal of 449228025 is 520822944.

The square root of 449228025 is 21195.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54331641 + 394896384 = 7371^2 + 19872^2 .

It is not a de Polignac number, because 449228025 - 21 = 449228023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (449228023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2861247 + ... + 2861403.

Almost surely, 2449228025 is an apocalyptic number.

449228025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

449228025 is the 21195-th square number.

449228025 is the 10598-th centered octagonal number.

It is an amenable number.

449228025 is a deficient number, since it is larger than the sum of its proper divisors (391307556).

449228025 is an frugal number, since it uses more digits than its factorization.

449228025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 449228025 is about 765.8709802993.

Multiplying 449228025 by its sum of digits (36), we get a square (16172208900 = 1271702).

The spelling of 449228025 in words is "four hundred forty-nine million, two hundred twenty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 157 225 243 405 471 675 729 785 1215 1413 2025 2355 3645 3925 4239 6075 7065 11775 12717 18225 21195 24649 35325 38151 63585 73947 105975 114453 123245 190755 221841 317925 369735 572265 616225 665523 953775 1109205 1848675 1996569 2861325 3327615 5546025 5989707 9982845 16638075 17969121 29948535 49914225 89845605 149742675 449228025