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4788320000 = 285429927
BaseRepresentation
bin1000111010110011…
…11111011100000000
3110100201001212012012
410131121333130000
534301302220000
62111050152052
7226442022422
oct43531773400
913321055165
104788320000
112037977762
12b17722628
135b4045159
14335d1c812
151d0591735
hex11d67f700

4788320000 has 90 divisors (see below), whose sum is σ = 11943995448. Its totient is φ = 1915264000.

The previous prime is 4788319981. The next prime is 4788320023. The reversal of 4788320000 is 238874.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 145037 + ... + 174963.

Almost surely, 24788320000 is an apocalyptic number.

4788320000 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 4788320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971997724).

4788320000 is an abundant number, since it is smaller than the sum of its proper divisors (7155675448).

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

4788320000 is an frugal number, since it uses more digits than its factorization.

4788320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29963 (or 29934 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4788320000 is about 69197.6878226433. The cubic root of 4788320000 is about 1685.4959840974.

Adding to 4788320000 its reverse (238874), we get a palindrome (4788558874).

The spelling of 4788320000 in words is "four billion, seven hundred eighty-eight million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 29927 32000 40000 59854 80000 119708 149635 160000 239416 299270 478832 598540 748175 957664 1197080 1496350 1915328 2394160 2992700 3740875 3830656 4788320 5985400 7481750 7661312 9576640 11970800 14963500 18704375 19153280 23941600 29927000 37408750 38306560 47883200 59854000 74817500 95766400 119708000 149635000 191532800 239416000 299270000 478832000 598540000 957664000 1197080000 2394160000 4788320000