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448084224 = 283674
BaseRepresentation
bin11010101101010…
…011100100000000
31011020011001000000
4122231103210000
51404202143344
6112244000000
714050440000
oct3255234400
91136131000
10448084224
1120aa28345
12106090000
1371aa89c3
1443720000
1529510a69
hex1ab53900

448084224 has 315 divisors, whose sum is σ = 1564422923. Its totient is φ = 128024064.

The previous prime is 448084187. The next prime is 448084253. The reversal of 448084224 is 422480844.

The square root of 448084224 is 21168.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 64012029 + ... + 64012035.

Almost surely, 2448084224 is an apocalyptic number.

448084224 is the 21168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448084224

448084224 is an abundant number, since it is smaller than the sum of its proper divisors (1116338699).

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

448084224 is an frugal number, since it uses more digits than its factorization.

448084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The cubic root of 448084224 is about 765.2204209127.

Multiplying 448084224 by its sum of digits (36), we get a square (16131032064 = 1270082).

448084224 divided by its sum of digits (36) gives a square (12446784 = 35282).

Multiplying 448084224 by its product of nonzero digits (65536), we get a square (29365647704064 = 54190082).

The spelling of 448084224 in words is "four hundred forty-eight million, eighty-four thousand, two hundred twenty-four".