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803363528 = 231129112
BaseRepresentation
bin101111111000100…
…101101011001000
32001222200002120202
4233320211223020
53121130113103
6211414511332
725623322502
oct5770455310
92058602522
10803363528
11382528a00
121a5065548
13ca58cb46
14789a2d72
154a7dd988
hex2fe25ac8

803363528 has 36 divisors (see below), whose sum is σ = 1657511835. Its totient is φ = 364764400.

The previous prime is 803363507. The next prime is 803363531. The reversal of 803363528 is 825363308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 401681764 + 401681764 = 20042^2 + 20042^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20042.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 803363491 and 803363500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 881393 + ... + 882303.

Almost surely, 2803363528 is an apocalyptic number.

803363528 is a gapful number since it is divisible by the number (88) 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 803363528

803363528 is an abundant number, since it is smaller than the sum of its proper divisors (854148307).

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

803363528 is an equidigital number, since it uses as much as digits as its factorization.

803363528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 803363528 is about 28343.6682170816. The cubic root of 803363528 is about 929.6169571443.

The spelling of 803363528 in words is "eight hundred three million, three hundred sixty-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 911 968 1822 3644 7288 10021 20042 40084 80168 110231 220462 440924 829921 881848 1659842 3319684 6639368 9129131 18258262 36516524 73033048 100420441 200840882 401681764 803363528