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4604842242 = 232711131913451
BaseRepresentation
bin1000100100111100…
…00101000100000010
3102212220211020000200
410102132011010002
533412314422432
62040533430030
7222053341020
oct42236050402
912786736020
104604842242
111a5334a150
12a8619b316
13585024330
143197db710
151be3eca7c
hex112785102

4604842242 has 192 divisors, whose sum is σ = 14102000640. Its totient is φ = 1045872000.

The previous prime is 4604842211. The next prime is 4604842279. The reversal of 4604842242 is 2422484064.

It is a happy number.

4604842242 is a `hidden beast` number, since 4 + 604 + 8 + 4 + 2 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4604842197 and 4604842206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335617 + ... + 349067.

It is an arithmetic number, because the mean of its divisors is an integer number (73447920).

Almost surely, 24604842242 is an apocalyptic number.

4604842242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4604842242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051000320).

4604842242 is an abundant number, since it is smaller than the sum of its proper divisors (9497158398).

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

4604842242 is a wasteful number, since it uses less digits than its factorization.

4604842242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4604842242 is about 67858.9879234873. The cubic root of 4604842242 is about 1663.6868557623.

The spelling of 4604842242 in words is "four billion, six hundred four million, eight hundred forty-two thousand, two hundred forty-two".