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803831040 = 283457753
BaseRepresentation
bin101111111010010…
…111110100000000
32002000112211220000
4233322113310000
53121240043130
6211432520000
725630310505
oct5772276400
92060484800
10803831040
11382818181
121a5250000
13ca6c488c
1478a854ac
154a882260
hex2fe97d00

803831040 has 180 divisors, whose sum is σ = 2876625444. Its totient is φ = 214327296.

The previous prime is 803831029. The next prime is 803831053. The reversal of 803831040 is 40138308.

It can be written as a sum of positive squares in 2 ways, for example, as 620607744 + 183223296 = 24912^2 + 13536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×8038310402 = 1292288681734963200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 803830995 and 803831013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99804 + ... + 107556.

Almost surely, 2803831040 is an apocalyptic number.

803831040 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 803831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438312722).

803831040 is an abundant number, since it is smaller than the sum of its proper divisors (2072794404).

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

803831040 is an equidigital number, since it uses as much as digits as its factorization.

803831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 803831040 is about 28351.9142210892. The cubic root of 803831040 is about 929.7972502866.

Adding to 803831040 its reverse (40138308), we get a palindrome (843969348).

The spelling of 803831040 in words is "eight hundred three million, eight hundred thirty-one thousand, forty".