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4002444544 = 28719223269
BaseRepresentation
bin1110111010010000…
…0111010100000000
3101022221022020201211
43232210013110000
531144111211134
61501054135504
7201120134350
oct35644072400
911287266654
104002444544
11177430390a
129384b1594
134ba2992a7
1429d7ccb60
151865a9764
hexee907500

4002444544 has 216 divisors, whose sum is σ = 10092781440. Its totient is φ = 1548619776.

The previous prime is 4002444533. The next prime is 4002444557. The reversal of 4002444544 is 4454442004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14878842 + ... + 14879110.

It is an arithmetic number, because the mean of its divisors is an integer number (46725840).

Almost surely, 24002444544 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 4002444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046390720).

4002444544 is an abundant number, since it is smaller than the sum of its proper divisors (6090336896).

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

4002444544 is a wasteful number, since it uses less digits than its factorization.

4002444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 31.

The square root of 4002444544 is about 63264.8760687951. The cubic root of 4002444544 is about 1587.7243587588.

Adding to 4002444544 its reverse (4454442004), we get a palindrome (8456886548).

The spelling of 4002444544 in words is "four billion, two million, four hundred forty-four thousand, five hundred forty-four".