Search a number
-
+
4042395000 = 233254741313
BaseRepresentation
bin1111000011110010…
…0000110101111000
3101102201110221110100
43300330200311320
531234323120000
61505042315400
7202113535110
oct36074406570
911381427410
104042395000
111794910216
12949958b60
134c5646407
142a4c2c040
15189d4ba00
hexf0f20d78

4042395000 has 480 divisors, whose sum is σ = 16067731680. Its totient is φ = 898560000.

The previous prime is 4042394957. The next prime is 4042395001. The reversal of 4042395000 is 5932404.

4042395000 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 not an unprimeable number, because it can be changed into a prime (4042395001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12914844 + ... + 12915156.

It is an arithmetic number, because the mean of its divisors is an integer number (33474441).

Almost surely, 24042395000 is an apocalyptic number.

4042395000 is a gapful number since it is divisible by the number (40) 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 4042395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033865840).

4042395000 is an abundant number, since it is smaller than the sum of its proper divisors (12025336680).

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

4042395000 is a wasteful number, since it uses less digits than its factorization.

4042395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4042395000 is about 63579.8317078616. The cubic root of 4042395000 is about 1592.9895103006.

The spelling of 4042395000 in words is "four billion, forty-two million, three hundred ninety-five thousand".