Search a number
-
+
9808040088 = 23337114712547
BaseRepresentation
bin10010010001001101…
…01101000010011000
3221022112120001122000
421020212231002120
5130041324240323
64301124201000
7465023652030
oct111046550230
927275501560
109808040088
114183423760
121a98839160
13c03cb9922
146908748c0
153c60e0e43
hex2489ad098

9808040088 has 256 divisors, whose sum is σ = 34692710400. Its totient is φ = 2493141120.

The previous prime is 9808040063. The next prime is 9808040117. The reversal of 9808040088 is 8800408089.

9808040088 is a `hidden beast` number, since 98 + 0 + 80 + 400 + 88 = 666.

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 63 ways as a sum of consecutive naturals, for example, 775431 + ... + 787977.

It is an arithmetic number, because the mean of its divisors is an integer number (135518400).

Almost surely, 29808040088 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 9808040088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17346355200).

9808040088 is an abundant number, since it is smaller than the sum of its proper divisors (24884670312).

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

9808040088 is a wasteful number, since it uses less digits than its factorization.

9808040088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 9808040088 is about 99035.5496172965. The cubic root of 9808040088 is about 2140.5600252082.

The spelling of 9808040088 in words is "nine billion, eight hundred eight million, forty thousand, eighty-eight".