Search a number
-
+
803649084 = 223731308621
BaseRepresentation
bin101111111001101…
…011011000111100
32002000012121021220
4233321223120330
53121213232314
6211424553340
725625622150
oct5771533074
92060177256
10803649084
113827034a7
121a5182850
13ca65cb04
1478a39060
154a8483a9
hex2fe6b63c

803649084 has 48 divisors (see below), whose sum is σ = 2212202496. Its totient is φ = 222206400.

The previous prime is 803649083. The next prime is 803649127. The reversal of 803649084 is 480946308.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803649083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151707 + ... + 156914.

It is an arithmetic number, because the mean of its divisors is an integer number (46087552).

Almost surely, 2803649084 is an apocalyptic number.

803649084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

803649084 is an abundant number, since it is smaller than the sum of its proper divisors (1408553412).

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

803649084 is a wasteful number, since it uses less digits than its factorization.

803649084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308666 (or 308664 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 803649084 is about 28348.7051556151. The cubic root of 803649084 is about 929.7270883798.

The spelling of 803649084 in words is "eight hundred three million, six hundred forty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 308621 617242 925863 1234484 1851726 2160347 3703452 4320694 6481041 8641388 9567251 12962082 19134502 25924164 28701753 38269004 57403506 66970757 114807012 133941514 200912271 267883028 401824542 803649084