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4480012320 = 253576172161
BaseRepresentation
bin1000010110000011…
…11001000000100000
3102120012221012120020
410023001321000200
533133340343240
62020314113440
7216006322260
oct41301710040
912505835506
104480012320
111999939623
12a5041b880
135651c8b84
14306dc57a0
151b34910d0
hex10b079020

4480012320 has 192 divisors, whose sum is σ = 16161659136. Its totient is φ = 1021870080.

The previous prime is 4480012297. The next prime is 4480012321. The reversal of 4480012320 is 232100844.

It is a Harshad number since it is a multiple of its sum of digits (24).

4480012320 is a modest number, since divided by 12320 gives 4480 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4480012321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2072040 + ... + 2074200.

It is an arithmetic number, because the mean of its divisors is an integer number (84175308).

Almost surely, 24480012320 is an apocalyptic number.

4480012320 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 4480012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080829568).

4480012320 is an abundant number, since it is smaller than the sum of its proper divisors (11681646816).

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

4480012320 is a wasteful number, since it uses less digits than its factorization.

4480012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4480012320 is about 66932.8941552657. The cubic root of 4480012320 is about 1648.5156310600.

The spelling of 4480012320 in words is "four billion, four hundred eighty million, twelve thousand, three hundred twenty".