Search a number
-
+
803538225 = 3452756687
BaseRepresentation
bin101111111001010…
…000010100110001
32001222222222020000
4233321100110301
53121201210400
6211422340213
725624651020
oct5771202461
92058888200
10803538225
11382638186
121a512a669
13ca621509
1478a0a8b7
154a825600
hex2fe50531

803538225 has 60 divisors (see below), whose sum is σ = 1701093504. Its totient is φ = 367325280.

The previous prime is 803538209. The next prime is 803538251. The reversal of 803538225 is 522835308.

803538225 is a `hidden beast` number, since 80 + 353 + 8 + 225 = 666.

803538225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 803538225 - 24 = 803538209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 803538225.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14169 + ... + 42518.

Almost surely, 2803538225 is an apocalyptic number.

It is an amenable number.

803538225 is an abundant number, since it is smaller than the sum of its proper divisors (897555279).

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

803538225 is a wasteful number, since it uses less digits than its factorization.

803538225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56716 (or 56702 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 803538225 is about 28346.7498136912. The cubic root of 803538225 is about 929.6843361566.

The spelling of 803538225 in words is "eight hundred three million, five hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 56687 170061 283435 396809 510183 850305 1190427 1417175 1530549 1984045 2550915 3571281 4251525 4591647 5952135 7652745 9920225 10713843 12754575 17856405 22958235 29760675 32141529 38263725 53569215 89282025 114791175 160707645 267846075 803538225