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4704884352 = 273775
BaseRepresentation
bin1000110000110111…
…01101011010000000
3110010220001220000000
410120123231122000
534113422244402
62054510000000
7224406600000
oct43033553200
913126056000
104704884352
111aa486a283
12ab37a6000
1359c98104c
14328c00000
151c80aec1c
hex1186ed680

4704884352 has 384 divisors, whose sum is σ = 16400131200. Its totient is φ = 1344252672.

The previous prime is 4704884279. The next prime is 4704884389. The reversal of 4704884352 is 2534884074.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a junction number, because it is equal to n+sod(n) for n = 4704884298 and 4704884307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672126333 + ... + 672126339.

It is an arithmetic number, because the mean of its divisors is an integer number (42708675).

Almost surely, 24704884352 is an apocalyptic number.

4704884352 is a gapful number since it is divisible by the number (42) 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 4704884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8200065600).

4704884352 is an abundant number, since it is smaller than the sum of its proper divisors (11695246848).

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

4704884352 is an frugal number, since it uses more digits than its factorization.

4704884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4704884352 is about 68592.1595519488. The cubic root of 4704884352 is about 1675.6487398100.

The spelling of 4704884352 in words is "four billion, seven hundred four million, eight hundred eighty-four thousand, three hundred fifty-two".