Search a number
-
+
4729631808 = 2631129314753
BaseRepresentation
bin1000110011110100…
…00111010001000000
3110012121122012010110
410121322013101000
534141241204213
62101152231320
7225130131006
oct43172072100
913177565113
104729631808
112007832420
12abbb3b540
135a4b37305
1432c202a76
151ca34c5c3
hex119e87440

4729631808 has 448 divisors, whose sum is σ = 15168798720. Its totient is φ = 1285939200.

The previous prime is 4729631807. The next prime is 4729631831. The reversal of 4729631808 is 8081369274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4729631801) 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, 89238310 + ... + 89238362.

Almost surely, 24729631808 is an apocalyptic number.

4729631808 is a gapful number since it is divisible by the number (48) 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 4729631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584399360).

4729631808 is an abundant number, since it is smaller than the sum of its proper divisors (10439166912).

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

4729631808 is a wasteful number, since it uses less digits than its factorization.

4729631808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 4729631808 is about 68772.3186173042. The cubic root of 4729631808 is about 1678.5815464760.

The spelling of 4729631808 in words is "four billion, seven hundred twenty-nine million, six hundred thirty-one thousand, eight hundred eight".