Search a number
-
+
487003104 = 2535723389
BaseRepresentation
bin11101000001110…
…001001111100000
31020221101022200000
4131001301033200
51444133044404
6120154100000
715032313060
oct3501611740
91227338600
10487003104
1122a99a705
1211711a600
1379b84423
14489713a0
152cb4c339
hex1d0713e0

487003104 has 288 divisors, whose sum is σ = 1717148160. Its totient is φ = 132751872.

The previous prime is 487003103. The next prime is 487003123. The reversal of 487003104 is 401300784.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487003103) 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 47 ways as a sum of consecutive naturals, for example, 1251742 + ... + 1252130.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2487003104 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 487003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

487003104 is an abundant number, since it is smaller than the sum of its proper divisors (1230145056).

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

487003104 is a wasteful number, since it uses less digits than its factorization.

487003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 487003104 is about 22068.1468184349. The cubic root of 487003104 is about 786.7629675589.

Adding to 487003104 its reverse (401300784), we get a palindrome (888303888).

The spelling of 487003104 in words is "four hundred eighty-seven million, three thousand, one hundred four".