Search a number
-
+
992061008 = 243112715749
BaseRepresentation
bin111011001000011…
…010011001010000
32120010201220212022
4323020122121100
54012431423013
6242235151012
733404244101
oct7310323120
92503656768
10992061008
11469aa1134
122382a5468
1312a6ba763
1495a823a8
155c164008
hex3b21a650

992061008 has 40 divisors (see below), whose sum is σ = 1999872000. Its totient is φ = 476219520.

The previous prime is 992060999. The next prime is 992061023. The reversal of 992061008 is 800160299.

It is a Cunningham number, because it is equal to 314972-1.

992061008 is a modest number, since divided by 61008 gives 9920 as remainder.

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 7 ways as a sum of consecutive naturals, for example, 55118 + ... + 70866.

It is an arithmetic number, because the mean of its divisors is an integer number (49996800).

Almost surely, 2992061008 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 992061008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

992061008 is an abundant number, since it is smaller than the sum of its proper divisors (1007810992).

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

992061008 is a wasteful number, since it uses less digits than its factorization.

992061008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15915 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 992061008 is about 31496.9999841255. Note that the first 4 decimals coincide. The cubic root of 992061008 is about 997.3466352155.

The spelling of 992061008 in words is "nine hundred ninety-two million, sixty-one thousand, eight".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 496 508 1016 2032 3937 7874 15748 15749 31496 31498 62992 62996 125992 251984 488219 976438 1952876 2000123 3905752 4000246 7811504 8000492 16000984 32001968 62003813 124007626 248015252 496030504 992061008