Search a number
-
+
856998240 = 25357283439
BaseRepresentation
bin110011000101001…
…100000101100000
32012201121000120120
4303011030011200
53223342420430
6221012240240
730144236100
oct6305140540
92181530516
10856998240
113aa83150a
121bb010080
1310871b767
1481b65200
1550385610
hex3314c160

856998240 has 288 divisors, whose sum is σ = 3185360640. Its totient is φ = 193084416.

The previous prime is 856998229. The next prime is 856998253. The reversal of 856998240 is 42899658.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1951941 + ... + 1952379.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2856998240 is an apocalyptic number.

856998240 is a gapful number since it is divisible by the number (80) 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 856998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592680320).

856998240 is an abundant number, since it is smaller than the sum of its proper divisors (2328362400).

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

856998240 is a wasteful number, since it uses less digits than its factorization.

856998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 856998240 is about 29274.5322763661. The cubic root of 856998240 is about 949.8608254107.

It can be divided in two parts, 85699 and 8240, that added together give a palindrome (93939).

The spelling of 856998240 in words is "eight hundred fifty-six million, nine hundred ninety-eight thousand, two hundred forty".