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831025440 = 25335727481
BaseRepresentation
bin110001100010000…
…111000100100000
32010220201110121000
4301202013010200
53200220303230
6214243432000
726410412460
oct6142070440
92126643530
10831025440
11397101793
121b2385600
1310322683b
147c523ba0
154ce54b60
hex31887120

831025440 has 192 divisors, whose sum is σ = 3324222720. Its totient is φ = 189941760.

The previous prime is 831025409. The next prime is 831025493. The reversal of 831025440 is 44520138.

831025440 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16500 + ... + 43980.

It is an arithmetic number, because the mean of its divisors is an integer number (17313660).

Almost surely, 2831025440 is an apocalyptic number.

831025440 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 831025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662111360).

831025440 is an abundant number, since it is smaller than the sum of its proper divisors (2493197280).

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

831025440 is a wasteful number, since it uses less digits than its factorization.

831025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27512 (or 27498 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 831025440 is about 28827.5118593333. The cubic root of 831025440 is about 940.1665013646.

Adding to 831025440 its reverse (44520138), we get a palindrome (875545578).

The spelling of 831025440 in words is "eight hundred thirty-one million, twenty-five thousand, four hundred forty".