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3025021824 = 2732112397107
BaseRepresentation
bin1011010001001110…
…0010101110000000
321210211010000211100
42310103202232000
522143401144244
61220100414400
7134651155416
oct26423425600
97724100740
103025021824
111312600740
127050a7400
13392935656
14209a7b2b6
1512a887b69
hexb44e2b80

3025021824 has 384 divisors, whose sum is σ = 10104756480. Its totient is φ = 859668480.

The previous prime is 3025021823. The next prime is 3025021843. The reversal of 3025021824 is 4281205203.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3025021823) 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 47 ways as a sum of consecutive naturals, for example, 28271179 + ... + 28271285.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 23025021824 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 3025021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

3025021824 is an abundant number, since it is smaller than the sum of its proper divisors (7079734656).

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

3025021824 is a wasteful number, since it uses less digits than its factorization.

3025021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3025021824 is about 55000.1983996422. The cubic root of 3025021824 is about 1446.2482198722.

The spelling of 3025021824 in words is "three billion, twenty-five million, twenty-one thousand, eight hundred twenty-four".