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831731040 = 253257109757
BaseRepresentation
bin110001100100110…
…011010101100000
32010222001022111100
4301210303111200
53200410343130
6214310514400
726416411560
oct6144632540
92128038440
10831731040
11397543928
121b2665a00
13103412a5a
147c668da0
154d043c60
hex31933560

831731040 has 288 divisors, whose sum is σ = 3277834560. Its totient is φ = 188116992.

The previous prime is 831730997. The next prime is 831731051. The reversal of 831731040 is 40137138.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 831730995 and 831731013.

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 47 ways as a sum of consecutive naturals, for example, 1098342 + ... + 1099098.

It is an arithmetic number, because the mean of its divisors is an integer number (11381370).

Almost surely, 2831731040 is an apocalyptic number.

831731040 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 831731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638917280).

831731040 is an abundant number, since it is smaller than the sum of its proper divisors (2446103520).

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

831731040 is a wasteful number, since it uses less digits than its factorization.

831731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 831731040 is about 28839.7475717108. The cubic root of 831731040 is about 940.4325156113.

Adding to 831731040 its reverse (40137138), we get a palindrome (871868178).

The spelling of 831731040 in words is "eight hundred thirty-one million, seven hundred thirty-one thousand, forty".