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4042439136 = 25361491163
BaseRepresentation
bin1111000011110010…
…1011100111100000
3101102201120012000000
43300330223213200
531234331023021
61505043300000
7202114110561
oct36074534740
911381505000
104042439136
11179494039a
1294997a600
134c5660528
142a4c40168
15189d59b26
hexf0f2b9e0

4042439136 has 168 divisors, whose sum is σ = 12022781400. Its totient is φ = 1337285376.

The previous prime is 4042439131. The next prime is 4042439143. The reversal of 4042439136 is 6319342404.

It is a happy number.

4042439136 is a `hidden beast` number, since 404 + 243 + 9 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4042439136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042439131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3475291 + ... + 3476453.

It is an arithmetic number, because the mean of its divisors is an integer number (71564175).

Almost surely, 24042439136 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 4042439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011390700).

4042439136 is an abundant number, since it is smaller than the sum of its proper divisors (7980342264).

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

4042439136 is a wasteful number, since it uses less digits than its factorization.

4042439136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4042439136 is about 63580.1787981129. The cubic root of 4042439136 is about 1592.9953078479.

The spelling of 4042439136 in words is "four billion, forty-two million, four hundred thirty-nine thousand, one hundred thirty-six".