Search a number
-
+
4042097024 = 27722971313
BaseRepresentation
bin1111000011101101…
…1000000110000000
3101102200220210201012
43300323120012000
531234234101044
61505032100052
7202111154300
oct36073300600
911380823635
104042097024
111794727359
12949834628
134c55708b4
142a4b91600
15189cdd59e
hexf0ed8180

4042097024 has 192 divisors, whose sum is σ = 9858218400. Its totient is φ = 1643765760.

The previous prime is 4042096997. The next prime is 4042097041. The reversal of 4042097024 is 4207902404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12913892 + ... + 12914204.

Almost surely, 24042097024 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 4042097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929109200).

4042097024 is an abundant number, since it is smaller than the sum of its proper divisors (5816121376).

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

4042097024 is a wasteful number, since it uses less digits than its factorization.

4042097024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4042097024 is about 63577.4883429662. The cubic root of 4042097024 is about 1592.9503681331.

Adding to 4042097024 its reverse (4207902404), we get a palindrome (8249999428).

The spelling of 4042097024 in words is "four billion, forty-two million, ninety-seven thousand, twenty-four".