Search a number
-
+
483204960 = 25335719292
BaseRepresentation
bin11100110011010…
…001111101100000
31020200020100121000
4130303101331200
51442200024320
6115540432000
714655113550
oct3463217540
91220210530
10483204960
11228836047
121159a8600
13791546c4
1448263160
152c64bc90
hex1ccd1f60

483204960 has 576 divisors, whose sum is σ = 2107123200. Its totient is φ = 101025792.

The previous prime is 483204959. The next prime is 483204961. The reversal of 483204960 is 69402384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (483204959) and next prime (483204961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483204961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16662226 + ... + 16662254.

It is an arithmetic number, because the mean of its divisors is an integer number (3658200).

Almost surely, 2483204960 is an apocalyptic number.

483204960 is a gapful number since it is divisible by the number (40) 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 483204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053561600).

483204960 is an abundant number, since it is smaller than the sum of its proper divisors (1623918240).

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

483204960 is a wasteful number, since it uses less digits than its factorization.

483204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 483204960 is about 21981.9234827164. The cubic root of 483204960 is about 784.7123021084.

The spelling of 483204960 in words is "four hundred eighty-three million, two hundred four thousand, nine hundred sixty".