Search a number
-
+
5842149720 = 23351153113739
BaseRepresentation
bin1010111000011100…
…00010000101011000
3120002011000221210120
411130032002011120
543431042242340
62403413313240
7264526311321
oct53416020530
916064027716
105842149720
112528817610
121170635820
1372147b934
143d5c7d448
15242d574d0
hex15c382158

5842149720 has 256 divisors, whose sum is σ = 19679500800. Its totient is φ = 1375395840.

The previous prime is 5842149701. The next prime is 5842149727. The reversal of 5842149720 is 279412485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842149727) 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 63 ways as a sum of consecutive naturals, for example, 7905111 + ... + 7905849.

It is an arithmetic number, because the mean of its divisors is an integer number (76873050).

Almost surely, 25842149720 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 5842149720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839750400).

5842149720 is an abundant number, since it is smaller than the sum of its proper divisors (13837351080).

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

5842149720 is a wasteful number, since it uses less digits than its factorization.

5842149720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5842149720 is about 76433.9565899869. The cubic root of 5842149720 is about 1801.0436046981.

The spelling of 5842149720 in words is "five billion, eight hundred forty-two million, one hundred forty-nine thousand, seven hundred twenty".