Search a number
-
+
4742880000 = 2835441241
BaseRepresentation
bin1000110101011001…
…01001101100000000
3110020112120021020020
410122230221230000
534203134130000
62102344213440
7225350546325
oct43254515400
913215507206
104742880000
112014260a41
12b0446a280
135a77c5491
1432dc90b4c
151cb5b7ba0
hex11ab29b00

4742880000 has 360 divisors, whose sum is σ = 16225443696. Its totient is φ = 1228800000.

The previous prime is 4742879989. The next prime is 4742880019. The reversal of 4742880000 is 882474.

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 39 ways as a sum of consecutive naturals, for example, 19679880 + ... + 19680120.

Almost surely, 24742880000 is an apocalyptic number.

4742880000 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 4742880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112721848).

4742880000 is an abundant number, since it is smaller than the sum of its proper divisors (11482563696).

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

4742880000 is an equidigital number, since it uses as much as digits as its factorization.

4742880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4742880000 is about 68868.5704802996. The cubic root of 4742880000 is about 1680.1473793609.

The spelling of 4742880000 in words is "four billion, seven hundred forty-two million, eight hundred eighty thousand".