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4630395104 = 25319748121
BaseRepresentation
bin1000100111111111…
…00011100011100000
3102221200220102221222
410103333203203200
533440340120404
62043245234212
7222513465116
oct42377434340
912850812858
104630395104
111a66812415
12a92862968
1358a40007a
1431cd6dab6
151c1798dbe
hex113fe38e0

4630395104 has 48 divisors (see below), whose sum is σ = 9507367296. Its totient is φ = 2217369600.

The previous prime is 4630395097. The next prime is 4630395109. The reversal of 4630395104 is 4015930364.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630395109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72164 + ... + 120284.

It is an arithmetic number, because the mean of its divisors is an integer number (198070152).

Almost surely, 24630395104 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 4630395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753683648).

4630395104 is an abundant number, since it is smaller than the sum of its proper divisors (4876972192).

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

4630395104 is a wasteful number, since it uses less digits than its factorization.

4630395104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48259 (or 48251 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 4630395104 is about 68047.0065763366. The cubic root of 4630395104 is about 1666.7585185290.

The spelling of 4630395104 in words is "four billion, six hundred thirty million, three hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 97 124 194 248 388 496 776 992 1552 3007 3104 6014 12028 24056 48112 48121 96224 96242 192484 384968 769936 1491751 1539872 2983502 4667737 5967004 9335474 11934008 18670948 23868016 37341896 47736032 74683792 144699847 149367584 289399694 578799388 1157598776 2315197552 4630395104