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4480172928 = 2732711172971
BaseRepresentation
bin1000010110000101…
…00000001110000000
3102120020020100212200
410023002200032000
533133411013203
62020321353200
7216010561440
oct41302401600
912506210780
104480172928
111999a39260
12a50498800
13565253cca
14307028120
151b34c39a3
hex10b0a0380

4480172928 has 384 divisors, whose sum is σ = 17024567040. Its totient is φ = 1094860800.

The previous prime is 4480172927. The next prime is 4480172933. The reversal of 4480172928 is 8292710844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480172923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506483 + ... + 1509453.

It is an arithmetic number, because the mean of its divisors is an integer number (44334810).

Almost surely, 24480172928 is an apocalyptic number.

4480172928 is a gapful number since it is divisible by the number (48) 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 4480172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512283520).

4480172928 is an abundant number, since it is smaller than the sum of its proper divisors (12544394112).

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

4480172928 is a wasteful number, since it uses less digits than its factorization.

4480172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4480172928 is about 66934.0939133414. The cubic root of 4480172928 is about 1648.5353305322.

The spelling of 4480172928 in words is "four billion, four hundred eighty million, one hundred seventy-two thousand, nine hundred twenty-eight".