Search a number
-
+
4908047040 = 2633513371181
BaseRepresentation
bin1001001001000101…
…01101101011000000
3110200001100121211000
410210202231223000
540022430001130
62131004252000
7232424466021
oct44442555300
913601317730
104908047040
112099512426
12b4b841000
13602aa4a60
14347ba6c48
151dad41260
hex1248adac0

4908047040 has 448 divisors, whose sum is σ = 19166555520. Its totient is φ = 1174487040.

The previous prime is 4908047017. The next prime is 4908047041. The reversal of 4908047040 is 407408094.

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

It is a junction number, because it is equal to n+sod(n) for n = 4908046986 and 4908047004.

It is not an unprimeable number, because it can be changed into a prime (4908047041) by changing a digit.

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, 4155250 + ... + 4156430.

It is an arithmetic number, because the mean of its divisors is an integer number (42782490).

Almost surely, 24908047040 is an apocalyptic number.

4908047040 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 4908047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583277760).

4908047040 is an abundant number, since it is smaller than the sum of its proper divisors (14258508480).

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

4908047040 is a wasteful number, since it uses less digits than its factorization.

4908047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4908047040 is about 70057.4552777932. The cubic root of 4908047040 is about 1699.4285322552.

The spelling of 4908047040 in words is "four billion, nine hundred eight million, forty-seven thousand, forty".