Search a number
-
+
4903464384 = 263371331183
BaseRepresentation
bin1001001000100010…
…01110110111000000
3110122201201210121000
410210101032313000
540020241330014
62130322132000
7232340521350
oct44421166700
913581653530
104903464384
112096972405
12b4a1b1000
13601b5bc20
14347332b60
151da738509
hex12444edc0

4903464384 has 224 divisors, whose sum is σ = 17742448640. Its totient is φ = 1293179904.

The previous prime is 4903464383. The next prime is 4903464389. The reversal of 4903464384 is 4834643094.

It is a happy number.

4903464384 is a `hidden beast` number, since 490 + 3 + 46 + 43 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4903464383) 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 31 ways as a sum of consecutive naturals, for example, 141657 + ... + 172839.

It is an arithmetic number, because the mean of its divisors is an integer number (79207360).

Almost surely, 24903464384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4903464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871224320).

4903464384 is an abundant number, since it is smaller than the sum of its proper divisors (12838984256).

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

4903464384 is a wasteful number, since it uses less digits than its factorization.

4903464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31224 (or 31208 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4903464384 is about 70024.7412276547. The cubic root of 4903464384 is about 1698.8994473045.

The spelling of 4903464384 in words is "four billion, nine hundred three million, four hundred sixty-four thousand, three hundred eighty-four".