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4842300960 = 253357473407
BaseRepresentation
bin1001000001001111…
…11010011000100000
3110111110122101011000
410200213322120200
534404112112320
62120255152000
7230665610340
oct44047723040
913443571130
104842300960
112065397422
12b31815600
135c2295553
1433d170d20
151d51a5c90
hex1209fa620

4842300960 has 384 divisors, whose sum is σ = 19787120640. Its totient is φ = 1082944512.

The previous prime is 4842300871. The next prime is 4842300989. The reversal of 4842300960 is 690032484.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1419577 + ... + 1422983.

It is an arithmetic number, because the mean of its divisors is an integer number (51528960).

Almost surely, 24842300960 is an apocalyptic number.

4842300960 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 4842300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893560320).

4842300960 is an abundant number, since it is smaller than the sum of its proper divisors (14944819680).

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

4842300960 is a wasteful number, since it uses less digits than its factorization.

4842300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3471 counting only the distinct ones).

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

The square root of 4842300960 is about 69586.6435460139. The cubic root of 4842300960 is about 1691.8061243580.

The spelling of 4842300960 in words is "four billion, eight hundred forty-two million, three hundred thousand, nine hundred sixty".