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4442313440 = 25527764459
BaseRepresentation
bin1000010001100100…
…00101001011100000
3102110120222220102102
410020302011023200
533044213012230
62012450105532
7215041020065
oct41062051340
912416886372
104442313440
11197a62a924
12a3b87b2a8
1355a459846
14301db0c6c
151aeee6045
hex108c852e0

4442313440 has 24 divisors (see below), whose sum is σ = 10494965880. Its totient is φ = 1776925312.

The previous prime is 4442313437. The next prime is 4442313451. The reversal of 4442313440 is 443132444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13882070 + ... + 13882389.

It is an arithmetic number, because the mean of its divisors is an integer number (437290245).

Almost surely, 24442313440 is an apocalyptic number.

4442313440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442313440 is an abundant number, since it is smaller than the sum of its proper divisors (6052652440).

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

4442313440 is a wasteful number, since it uses less digits than its factorization.

4442313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27764474 (or 27764466 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 4442313440 is about 66650.6822170636. The cubic root of 4442313440 is about 1643.8785654330.

Adding to 4442313440 its reverse (443132444), we get a palindrome (4885445884).

The spelling of 4442313440 in words is "four billion, four hundred forty-two million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 27764459 55528918 111057836 138822295 222115672 277644590 444231344 555289180 888462688 1110578360 2221156720 4442313440