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1449907648 = 26732572
BaseRepresentation
bin101011001101011…
…1101010111000000
310202001020221101021
41112122331113000
510432134021043
6355512315224
750634004000
oct12632752700
93661227337
101449907648
11684487092
123456a2b14
131a1503b27
14da7c4000
15874523ed
hex566bd5c0

1449907648 has 84 divisors (see below), whose sum is σ = 3368395600. Its totient is φ = 618971136.

The previous prime is 1449907553. The next prime is 1449907663. The reversal of 1449907648 is 8467099441.

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 is a junction number, because it is equal to n+sod(n) for n = 1449907595 and 1449907604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5641536 + ... + 5641792.

Almost surely, 21449907648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1449907648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684197800).

1449907648 is an abundant number, since it is smaller than the sum of its proper divisors (1918487952).

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

1449907648 is an frugal number, since it uses more digits than its factorization.

1449907648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 1449907648 is about 38077.6528688416. The cubic root of 1449907648 is about 1131.8271658616.

The spelling of 1449907648 in words is "one billion, four hundred forty-nine million, nine hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 257 343 392 448 514 686 784 1028 1372 1568 1799 2056 2744 3136 3598 4112 5488 7196 8224 10976 12593 14392 16448 21952 25186 28784 50372 57568 66049 88151 100744 115136 132098 176302 201488 264196 352604 402976 462343 528392 705208 805952 924686 1056784 1410416 1849372 2113568 2820832 3236401 3698744 4227136 5641664 6472802 7397488 12945604 14794976 22654807 25891208 29589952 45309614 51782416 90619228 103564832 181238456 207129664 362476912 724953824 1449907648