Search a number
-
+
3875642128 = 242917946663
BaseRepresentation
bin1110011100000001…
…1001101100010000
3101000002201000112001
43213000121230100
530414131022003
61440324243344
7165020262121
oct34700315420
911002630461
103875642128
111709776326
12901b40554
13499c30087
1428aa22048
1517a3ad61d
hexe7019b10

3875642128 has 40 divisors (see below), whose sum is σ = 7811553600. Its totient is φ = 1860507264.

The previous prime is 3875642087. The next prime is 3875642189. The reversal of 3875642128 is 8212465783.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59725 + ... + 106387.

It is an arithmetic number, because the mean of its divisors is an integer number (195288840).

Almost surely, 23875642128 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 3875642128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905776800).

3875642128 is an abundant number, since it is smaller than the sum of its proper divisors (3935911472).

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

3875642128 is a wasteful number, since it uses less digits than its factorization.

3875642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46879 (or 46873 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 3875642128 is about 62254.6554725026. The cubic root of 3875642128 is about 1570.7770813382. Note that the first 3 decimals are identical.

The spelling of 3875642128 in words is "three billion, eight hundred seventy-five million, six hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 179 232 358 464 716 1432 2864 5191 10382 20764 41528 46663 83056 93326 186652 373304 746608 1353227 2706454 5412908 8352677 10825816 16705354 21651632 33410708 66821416 133642832 242227633 484455266 968910532 1937821064 3875642128