Search a number
-
+
803401480 = 235728110211
BaseRepresentation
bin101111111000101…
…110111100001000
32001222202000122101
4233320232330020
53121132321410
6211415403144
725623541240
oct5770567410
92058660571
10803401480
11382554472
121a50834b4
13ca5a41bb
14789b2b20
154a7e9d3a
hex2fe2ef08

803401480 has 64 divisors (see below), whose sum is σ = 2073444480. Its totient is φ = 274444800.

The previous prime is 803401463. The next prime is 803401493. The reversal of 803401480 is 84104308.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73575 + ... + 83785.

It is an arithmetic number, because the mean of its divisors is an integer number (32397570).

Almost surely, 2803401480 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 803401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036722240).

803401480 is an abundant number, since it is smaller than the sum of its proper divisors (1270043000).

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

803401480 is a wasteful number, since it uses less digits than its factorization.

803401480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 803401480 is about 28344.3377061451. The cubic root of 803401480 is about 929.6315957091.

Adding to 803401480 its reverse (84104308), we get a palindrome (887505788).

The spelling of 803401480 in words is "eight hundred three million, four hundred one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 281 562 1124 1405 1967 2248 2810 3934 5620 7868 9835 10211 11240 15736 19670 20422 39340 40844 51055 71477 78680 81688 102110 142954 204220 285908 357385 408440 571816 714770 1429540 2859080 2869291 5738582 11477164 14346455 20085037 22954328 28692910 40170074 57385820 80340148 100425185 114771640 160680296 200850370 401700740 803401480