Search a number
-
+
3959281144 = 2372132973367
BaseRepresentation
bin1110101111111101…
…1101010111111000
3101012221002022200101
43223333131113320
531102033444034
61452513045144
7200054222500
oct35377352770
911187068611
103959281144
111751a02585
12925b567b4
134b1365910
14297b94a00
151828d0514
hexebfdd5f8

3959281144 has 192 divisors, whose sum is σ = 9779011200. Its totient is φ = 1487517696.

The previous prime is 3959281141. The next prime is 3959281171. The reversal of 3959281144 is 4411829593.

It is a junction number, because it is equal to n+sod(n) for n = 3959281094 and 3959281103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3959281141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10788049 + ... + 10788415.

It is an arithmetic number, because the mean of its divisors is an integer number (50932350).

Almost surely, 23959281144 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 3959281144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889505600).

3959281144 is an abundant number, since it is smaller than the sum of its proper divisors (5819730056).

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

3959281144 is a wasteful number, since it uses less digits than its factorization.

3959281144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 3959281144 is about 62922.8189451172. The cubic root of 3959281144 is about 1581.9962408870.

The spelling of 3959281144 in words is "three billion, nine hundred fifty-nine million, two hundred eighty-one thousand, one hundred forty-four".