Search a number
-
+
4339948032 = 29337243149
BaseRepresentation
bin1000000101010111…
…00101101000000000
3102012110101012111000
410002223211220000
532342011314112
61554352052000
7212355643500
oct40253455000
912173335430
104339948032
111927873212
12a11534000
135421984b4
142d2565a00
151a60257dc
hex102ae5a00

4339948032 has 480 divisors, whose sum is σ = 15394104000. Its totient is φ = 1203019776.

The previous prime is 4339948027. The next prime is 4339948043. The reversal of 4339948032 is 2308499334.

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 47 ways as a sum of consecutive naturals, for example, 29127094 + ... + 29127242.

It is an arithmetic number, because the mean of its divisors is an integer number (32071050).

Almost surely, 24339948032 is an apocalyptic number.

4339948032 is a gapful number since it is divisible by the number (42) 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 4339948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697052000).

4339948032 is an abundant number, since it is smaller than the sum of its proper divisors (11054155968).

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

4339948032 is a wasteful number, since it uses less digits than its factorization.

4339948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4339948032 is about 65878.2819448109. The cubic root of 4339948032 is about 1631.1535402864.

The spelling of 4339948032 in words is "four billion, three hundred thirty-nine million, nine hundred forty-eight thousand, thirty-two".