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4424253120 = 2632572107293
BaseRepresentation
bin1000001111011010…
…01011111011000000
3102102100000100022200
410013231023323000
533030102044440
62011003033200
7214431350100
oct40755137300
912370010280
104424253120
111970414941
12a3580b800
135567a5271
142dd82d200
151ad629c30
hex107b4bec0

4424253120 has 504 divisors, whose sum is σ = 17928512784. Its totient is φ = 998387712.

The previous prime is 4424253083. The next prime is 4424253149. The reversal of 4424253120 is 213524244.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15099694 + ... + 15099986.

It is an arithmetic number, because the mean of its divisors is an integer number (35572446).

Almost surely, 24424253120 is an apocalyptic number.

4424253120 is a gapful number since it is divisible by the number (40) 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 4424253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964256392).

4424253120 is an abundant number, since it is smaller than the sum of its proper divisors (13504259664).

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

4424253120 is a wasteful number, since it uses less digits than its factorization.

4424253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4424253120 is about 66515.0593474891. The cubic root of 4424253120 is about 1641.6477985011.

Adding to 4424253120 its reverse (213524244), we get a palindrome (4637777364).

The spelling of 4424253120 in words is "four billion, four hundred twenty-four million, two hundred fifty-three thousand, one hundred twenty".