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449270416 = 24727572
BaseRepresentation
bin11010110001110…
…101001010010000
31011022101022011001
4122301311022100
51410003123131
6112325231344
714063510200
oct3261651220
91138338131
10449270416
11210668571
12106562554
13721028aa
144394c400
1529697261
hex1ac75290

449270416 has 45 divisors (see below), whose sum is σ = 1013916969. Its totient is φ = 192290112.

The previous prime is 449270399. The next prime is 449270449. The reversal of 449270416 is 614072944.

It is a happy number.

The square root of 449270416 is 21196.

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

It can be written as a sum of positive squares in only one way, i.e., 277555600 + 171714816 = 16660^2 + 13104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 593110 + ... + 593866.

Almost surely, 2449270416 is an apocalyptic number.

449270416 is the 21196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449270416

449270416 is an abundant number, since it is smaller than the sum of its proper divisors (564646553).

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

449270416 is an frugal number, since it uses more digits than its factorization.

449270416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 449270416 is about 765.8950697845.

The spelling of 449270416 in words is "four hundred forty-nine million, two hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 757 784 1514 3028 5299 6056 10598 12112 21196 37093 42392 74186 84784 148372 296744 573049 593488 1146098 2292196 4011343 4584392 8022686 9168784 16045372 28079401 32090744 56158802 64181488 112317604 224635208 449270416