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1445091648 = 2637111373103
BaseRepresentation
bin101011000100010…
…0101100101000000
310201201012021001220
41112020211211000
510424420413043
6355221155040
750545035120
oct12610454500
93651167056
101445091648
11681797820
12343b5ba80
131a0508a20
14d9cccc80
1586d00483
hex56225940

1445091648 has 448 divisors, whose sum is σ = 5254459392. Its totient is φ = 338411520.

The previous prime is 1445091643. The next prime is 1445091649. The reversal of 1445091648 is 8461905441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×14450916482 = 4176579742238711808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445091643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14029965 + ... + 14030067.

It is an arithmetic number, because the mean of its divisors is an integer number (11728704).

Almost surely, 21445091648 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 1445091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627229696).

1445091648 is an abundant number, since it is smaller than the sum of its proper divisors (3809367744).

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

1445091648 is a wasteful number, since it uses less digits than its factorization.

1445091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1445091648 is about 38014.3610757829. The cubic root of 1445091648 is about 1130.5726202135.

The spelling of 1445091648 in words is "one billion, four hundred forty-five million, ninety-one thousand, six hundred forty-eight".