Search a number
-
+
3063126528 = 29327118997
BaseRepresentation
bin1011011010010011…
…1001101000000000
321220110210221122200
42312210321220000
522233130022103
61223541233200
7135623101020
oct26644715000
97813727580
103063126528
111332067330
12715a02800
1339a7b7607
14210b59a80
1512ddb30a3
hexb6939a00

3063126528 has 480 divisors, whose sum is σ = 11260529280. Its totient is φ = 778567680.

The previous prime is 3063126503. The next prime is 3063126587. The reversal of 3063126528 is 8256213603.

It is a happy number.

3063126528 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 126 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3063126492 and 3063126501.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 31578576 + ... + 31578672.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 23063126528 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 3063126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630264640).

3063126528 is an abundant number, since it is smaller than the sum of its proper divisors (8197402752).

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

3063126528 is a wasteful number, since it uses less digits than its factorization.

3063126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3063126528 is about 55345.5194934513. The cubic root of 3063126528 is about 1452.2954570305.

The spelling of 3063126528 in words is "three billion, sixty-three million, one hundred twenty-six thousand, five hundred twenty-eight".