Search a number
-
+
4906788480 = 2732511431801
BaseRepresentation
bin1001001000111011…
…11010011010000000
3110122221222200101200
410210131322122000
540022114212410
62130521301200
7232411004526
oct44435723200
913587880350
104906788480
1120988328a0
12b4b334800
13602753c49
1434795a316
151dab933c0
hex12477a680

4906788480 has 384 divisors, whose sum is σ = 18924459840. Its totient is φ = 1161216000.

The previous prime is 4906788473. The next prime is 4906788499. The reversal of 4906788480 is 848876094.

4906788480 is a `hidden beast` number, since 4 + 90 + 6 + 78 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2723580 + ... + 2725380.

Almost surely, 24906788480 is an apocalyptic number.

4906788480 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 4906788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462229920).

4906788480 is an abundant number, since it is smaller than the sum of its proper divisors (14017671360).

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

4906788480 is a wasteful number, since it uses less digits than its factorization.

4906788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1865 counting only the distinct ones).

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

The square root of 4906788480 is about 70048.4723602164. The cubic root of 4906788480 is about 1699.2832595631.

The spelling of 4906788480 in words is "four billion, nine hundred six million, seven hundred eighty-eight thousand, four hundred eighty".