Search a number
-
+
9884057040 = 243251113175647
BaseRepresentation
bin10010011010010001…
…01011110111010000
3221111211121010021200
421031020223313100
5130220304311130
64312441351200
7466636045554
oct111510536720
927454533250
109884057040
114212324390
121aba198500
13c16984080
1469a9c1864
153ccb09760
hex24d22bdd0

9884057040 has 480 divisors, whose sum is σ = 41298356736. Its totient is φ = 2081341440.

The previous prime is 9884057021. The next prime is 9884057047. The reversal of 9884057040 is 407504889.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9884057047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1747497 + ... + 1753143.

Almost surely, 29884057040 is an apocalyptic number.

9884057040 is a gapful number since it is divisible by the number (90) 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 9884057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20649178368).

9884057040 is an abundant number, since it is smaller than the sum of its proper divisors (31414299696).

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

9884057040 is a wasteful number, since it uses less digits than its factorization.

9884057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9884057040 is about 99418.5950413704. The cubic root of 9884057040 is about 2146.0759171137.

The spelling of 9884057040 in words is "nine billion, eight hundred eighty-four million, fifty-seven thousand, forty".