Search a number
-
+
803473944 = 2337133761163
BaseRepresentation
bin101111111001000…
…000101000011000
32001222212201001020
4233321000220120
53121142131234
6211421122440
725624262430
oct5771005030
92058781036
10803473944
113825a3959
121a50b9420
13ca5cb190
14789d12c0
154a811549
hex2fe40a18

803473944 has 256 divisors, whose sum is σ = 2596500480. Its totient is φ = 201553920.

The previous prime is 803473943. The next prime is 803473949. The reversal of 803473944 is 449374308.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 803473896 and 803473905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803473943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4929207 + ... + 4929369.

It is an arithmetic number, because the mean of its divisors is an integer number (10142580).

Almost surely, 2803473944 is an apocalyptic number.

803473944 is a gapful number since it is divisible by the number (84) 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 803473944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298250240).

803473944 is an abundant number, since it is smaller than the sum of its proper divisors (1793026536).

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

803473944 is a wasteful number, since it uses less digits than its factorization.

803473944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 803473944 is about 28345.6159573222. The cubic root of 803473944 is about 929.6595447069.

The spelling of 803473944 in words is "eight hundred three million, four hundred seventy-three thousand, nine hundred forty-four".