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4804320960 = 2632523294161
BaseRepresentation
bin1000111100101110…
…00001111011000000
3110101211011210101100
410132113001323000
534314401232320
62112421134400
7230025024435
oct43627017300
913354153340
104804320960
112045a0649a
12b20b5a400
135b745828a
143380c5b8c
151d1ba2790
hex11e5c1ec0

4804320960 has 672 divisors, whose sum is σ = 18572561280. Its totient is φ = 1135411200.

The previous prime is 4804320959. The next prime is 4804320967. The reversal of 4804320960 is 690234084.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4804320967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78759330 + ... + 78759390.

It is an arithmetic number, because the mean of its divisors is an integer number (27637740).

Almost surely, 24804320960 is an apocalyptic number.

4804320960 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 4804320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286280640).

4804320960 is an abundant number, since it is smaller than the sum of its proper divisors (13768240320).

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

4804320960 is a wasteful number, since it uses less digits than its factorization.

4804320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4804320960 is about 69313.2091307277. The cubic root of 4804320960 is about 1687.3713508509.

The spelling of 4804320960 in words is "four billion, eight hundred four million, three hundred twenty thousand, nine hundred sixty".