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4481070048 = 2532713198999
BaseRepresentation
bin1000010110001011…
…11011001111100000
3102120021220221111100
410023011323033200
533134123220143
62020352514400
7216021316110
oct41305731740
912507827440
104481070048
11199a4a1284
12a5084ba00
135654a9450
143071bd040
151b35ee6d3
hex10b17b3e0

4481070048 has 288 divisors, whose sum is σ = 16511040000. Its totient is φ = 1119495168.

The previous prime is 4481070043. The next prime is 4481070049. The reversal of 4481070048 is 8400701844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4481069994 and 4481070021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481070043) 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, 493453 + ... + 502451.

It is an arithmetic number, because the mean of its divisors is an integer number (57330000).

Almost surely, 24481070048 is an apocalyptic number.

4481070048 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 4481070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520000).

4481070048 is an abundant number, since it is smaller than the sum of its proper divisors (12029969952).

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

4481070048 is a wasteful number, since it uses less digits than its factorization.

4481070048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4481070048 is about 66940.7950953677. The cubic root of 4481070048 is about 1648.6453586744.

The spelling of 4481070048 in words is "four billion, four hundred eighty-one million, seventy thousand, forty-eight".