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1944365472 = 2531173

1944365472 has 288 divisors, whose sum is σ = 6696144000. Its totient is φ = 555532992.

The previous prime is 1944365461. The next prime is 1944365557. The reversal of 1944365472 is 2745634491.

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 tau number, because it is divible by the number of its divisors (288).

Its product of digits (725760) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277766493 + ... + 277766499.

It is an arithmetic number, because the mean of its divisors is an integer number (23250500).

Almost surely, 21944365472 is an apocalyptic number.

1944365472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1944365472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348072000).

1944365472 is an abundant number, since it is smaller than the sum of its proper divisors (4751778528).

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

1944365472 is an frugal number, since it uses more digits than its factorization.

1944365472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1944365472 is about 44094.9597119671. The cubic root of 1944365472 is about 1248.1285000822.

The spelling of 1944365472 in words is "one billion, nine hundred forty-four million, three hundred sixty-five thousand, four hundred seventy-two".