Search a number
-
+
4249339424 = 251123524869
BaseRepresentation
bin1111110101000111…
…1100011000100000
3101222010212210211122
43331101330120200
532200312330144
61541354031412
7210205534451
oct37521743040
911863783748
104249339424
111890706670
129a7118568
13529492535
142c44db128
1519d0c87ee
hexfd47c620

4249339424 has 48 divisors (see below), whose sum is σ = 9523241280. Its totient is φ = 1847535360.

The previous prime is 4249339403. The next prime is 4249339427.

4249339424 is nontrivially palindromic in base 10.

4249339424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4249339427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254339 + ... + 270530.

It is an arithmetic number, because the mean of its divisors is an integer number (198400860).

Almost surely, 24249339424 is an apocalyptic number.

4249339424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4249339424 is an abundant number, since it is smaller than the sum of its proper divisors (5273901856).

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

4249339424 is a wasteful number, since it uses less digits than its factorization.

4249339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524913 (or 524905 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The square root of 4249339424 is about 65186.9574684998. The cubic root of 4249339424 is about 1619.7219743372.

The spelling of 4249339424 in words is "four billion, two hundred forty-nine million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 524869 1049738 2099476 4198952 5773559 8397904 11547118 12071987 16795808 23094236 24143974 46188472 48287948 92376944 96575896 132791857 184753888 193151792 265583714 386303584 531167428 1062334856 2124669712 4249339424