Search a number
-
+
803480656 = 241121724413
BaseRepresentation
bin101111111001000…
…010010001010000
32001222220001020211
4233321002101100
53121142340111
6211421213504
725624321126
oct5771022120
92058801224
10803480656
113825a8a00
121a5101294
13ca601254
14789d3916
154a813521
hex2fe42450

803480656 has 60 divisors (see below), whose sum is σ = 1811860596. Its totient is φ = 343720960.

The previous prime is 803480611. The next prime is 803480663. The reversal of 803480656 is 656084308.

It can be written as a sum of positive squares in 2 ways, for example, as 392040000 + 411440656 = 19800^2 + 20284^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20706 + ... + 45118.

Almost surely, 2803480656 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 803480656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905930298).

803480656 is an abundant number, since it is smaller than the sum of its proper divisors (1008379940).

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

803480656 is a wasteful number, since it uses less digits than its factorization.

803480656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24460 (or 24443 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 803480656 is about 28345.7343528087. The cubic root of 803480656 is about 929.6621334063.

The spelling of 803480656 in words is "eight hundred three million, four hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 8228 16456 24413 32912 48826 97652 195304 268543 390608 415021 537086 830042 1074172 1660084 2148344 2953973 3320168 4296688 4565231 5907946 6640336 9130462 11815892 18260924 23631784 36521848 47263568 50217541 73043696 100435082 200870164 401740328 803480656