Search a number
-
+
803043072 = 283613331
BaseRepresentation
bin101111110111010…
…111011100000000
32001222001211000000
4233313113130000
53121034334242
6211404000000
725620516306
oct5767273400
92058054000
10803043072
1138232a167
121a4b30000
13ca4aa020
147891c276
154a778a4c
hex2fdd7700

803043072 has 252 divisors, whose sum is σ = 2596014904. Its totient is φ = 246343680.

The previous prime is 803043071. The next prime is 803043077. The reversal of 803043072 is 270340308.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803043071) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2425947 + ... + 2426277.

Almost surely, 2803043072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298007452).

803043072 is an abundant number, since it is smaller than the sum of its proper divisors (1792971832).

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

803043072 is an equidigital number, since it uses as much as digits as its factorization.

803043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 803043072 is about 28338.0146093547. The cubic root of 803043072 is about 929.4933348404.

The spelling of 803043072 in words is "eight hundred three million, forty-three thousand, seventy-two".