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4190049024 = 283717192127
BaseRepresentation
bin1111100110111111…
…0001001100000000
3101211000022112200220
43321233301030000
532040123032044
61531435143040
7205555554240
oct37157611400
911730275626
104190049024
11186019a937
1298b2a4a80
1351a103565
142ba6a5b20
15197cb6019
hexf9bf1300

4190049024 has 432 divisors, whose sum is σ = 14354178048. Its totient is φ = 1059028992.

The previous prime is 4190048999. The next prime is 4190049047. The reversal of 4190049024 is 4209400914.

4190049024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32992449 + ... + 32992575.

It is an arithmetic number, because the mean of its divisors is an integer number (33227264).

Almost surely, 24190049024 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 4190049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177089024).

4190049024 is an abundant number, since it is smaller than the sum of its proper divisors (10164129024).

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

4190049024 is a wasteful number, since it uses less digits than its factorization.

4190049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4190049024 is about 64730.5880090703. The cubic root of 4190049024 is about 1612.1534169613.

Adding to 4190049024 its reverse (4209400914), we get a palindrome (8399449938).

The spelling of 4190049024 in words is "four billion, one hundred ninety million, forty-nine thousand, twenty-four".