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803938080 = 2535111071423
BaseRepresentation
bin101111111010110…
…001111100100000
32002000202021201110
4233322301330200
53121302004310
6211435103320
725631234541
oct5772617440
92060667643
10803938080
11382890640
121a52a1b40
13ca73150a
1478ab24c8
154a8a3d20
hex2feb1f20

803938080 has 192 divisors, whose sum is σ = 2790402048. Its totient is φ = 192936960.

The previous prime is 803938039. The next prime is 803938117. The reversal of 803938080 is 80839308.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564249 + ... + 565671.

It is an arithmetic number, because the mean of its divisors is an integer number (14533344).

Almost surely, 2803938080 is an apocalyptic number.

803938080 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 803938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395201024).

803938080 is an abundant number, since it is smaller than the sum of its proper divisors (1986463968).

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

803938080 is a wasteful number, since it uses less digits than its factorization.

803938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 803938080 is about 28353.8018614788. The cubic root of 803938080 is about 929.8385197721.

The spelling of 803938080 in words is "eight hundred three million, nine hundred thirty-eight thousand, eighty".