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803552409 = 321128592
BaseRepresentation
bin101111111001010…
…011110010011001
32002000000200200100
4233321103302121
53121202134114
6211422530013
725625040252
oct5771236231
92060020610
10803552409
11382647900
121a5136909
13ca627aca
1478a11b29
154a829909
hex2fe53c99

803552409 has 27 divisors (see below), whose sum is σ = 1277283189. Its totient is φ = 486434520.

The previous prime is 803552353. The next prime is 803552417. The reversal of 803552409 is 904255308.

The square root of 803552409 is 28347.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 803552409 - 211 = 803550361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (803552429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 935022 + ... + 935880.

Almost surely, 2803552409 is an apocalyptic number.

803552409 is the 28347-th square number.

803552409 is the 14174-th centered octagonal number.

It is an amenable number.

803552409 is a deficient number, since it is larger than the sum of its proper divisors (473730780).

803552409 is an equidigital number, since it uses as much as digits as its factorization.

803552409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 803552409 is about 929.6898063652.

Multiplying 803552409 by its sum of digits (36), we get a square (28927886724 = 1700822).

The spelling of 803552409 in words is "eight hundred three million, five hundred fifty-two thousand, four hundred nine".

Divisors: 1 3 9 11 33 99 121 363 859 1089 2577 7731 9449 28347 85041 103939 311817 737881 935451 2213643 6640929 8116691 24350073 73050219 89283601 267850803 803552409