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4788840960 = 2933579877
BaseRepresentation
bin1000111010110111…
…11110101000000000
3110100202001022211000
410131123332220000
534301420402320
62111105252000
7226446322311
oct43533765000
913322038730
104788840960
1120381a3102
12b17934000
135b4198307
14336016608
151d0645c90
hex11d6fea00

4788840960 has 320 divisors, whose sum is σ = 17245324800. Its totient is φ = 1259421696.

The previous prime is 4788840941. The next prime is 4788840977. The reversal of 4788840960 is 690488874.

4788840960 is a `hidden beast` number, since 478 + 8 + 84 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4788840897 and 4788840906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460042 + ... + 5460918.

It is an arithmetic number, because the mean of its divisors is an integer number (53891640).

Almost surely, 24788840960 is an apocalyptic number.

4788840960 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 4788840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622662400).

4788840960 is an abundant number, since it is smaller than the sum of its proper divisors (12456483840).

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

4788840960 is an equidigital number, since it uses as much as digits as its factorization.

4788840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4788840960 is about 69201.4520078878. The cubic root of 4788840960 is about 1685.5571081204.

The spelling of 4788840960 in words is "four billion, seven hundred eighty-eight million, eight hundred forty thousand, nine hundred sixty".