Search a number
-
+
3026642976 = 2533741459
BaseRepresentation
bin1011010001100110…
…1110100000100000
321210221011101122000
42310121232200200
522144310033401
61220155244000
7135001020000
oct26431564040
97727141560
103026642976
111313508735
12705749600
13393082506
14209d80000
1512aaa8186
hexb466e820

3026642976 has 240 divisors, whose sum is σ = 10305439200. Its totient is φ = 864162432.

The previous prime is 3026642959. The next prime is 3026642977. The reversal of 3026642976 is 6792466203.

It is not an unprimeable number, because it can be changed into a prime (3026642977) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2073735 + ... + 2075193.

It is an arithmetic number, because the mean of its divisors is an integer number (42939330).

Almost surely, 23026642976 is an apocalyptic number.

3026642976 is a gapful number since it is divisible by the number (36) 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 3026642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152719600).

3026642976 is an abundant number, since it is smaller than the sum of its proper divisors (7278796224).

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

3026642976 is an equidigital number, since it uses as much as digits as its factorization.

3026642976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3026642976 is about 55014.9341179284. The cubic root of 3026642976 is about 1446.5065286958.

The spelling of 3026642976 in words is "three billion, twenty-six million, six hundred forty-two thousand, nine hundred seventy-six".