Search a number
-
+
4830842592 = 253431591019
BaseRepresentation
bin1000111111111000…
…01100111011100000
3110110200002020020000
410133330030323200
534343143430332
62115205420000
7230466325122
oct43774147340
913420066200
104830842592
1120599805a4
12b29a0a600
135bcab2c54
1433b82b212
151d4190b7c
hex11ff0cee0

4830842592 has 240 divisors, whose sum is σ = 14928883200. Its totient is φ = 1530420480.

The previous prime is 4830842579. The next prime is 4830842641. The reversal of 4830842592 is 2952480384.

4830842592 is a `hidden beast` number, since 483 + 0 + 84 + 2 + 5 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4740259 + ... + 4741277.

It is an arithmetic number, because the mean of its divisors is an integer number (62203680).

Almost surely, 24830842592 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 4830842592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464441600).

4830842592 is an abundant number, since it is smaller than the sum of its proper divisors (10098040608).

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

4830842592 is a wasteful number, since it uses less digits than its factorization.

4830842592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4830842592 is about 69504.2631210489. The cubic root of 4830842592 is about 1690.4706264889.

The spelling of 4830842592 in words is "four billion, eight hundred thirty million, eight hundred forty-two thousand, five hundred ninety-two".