Search a number
-
+
487638060 = 2235713314367
BaseRepresentation
bin11101000100001…
…100010000101100
31020222120120122220
4131010030100230
51444313404220
6120215435340
715040566210
oct3504142054
91228516586
10487638060
11230293768
12117385b50
137a047440
1448a98940
152cc25540
hex1d10c42c

487638060 has 384 divisors, whose sum is σ = 1801519104. Its totient is φ = 95800320.

The previous prime is 487638043. The next prime is 487638061. The reversal of 487638060 is 60836784.

487638060 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (487638061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7278147 + ... + 7278213.

It is an arithmetic number, because the mean of its divisors is an integer number (4691456).

Almost surely, 2487638060 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 487638060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900759552).

487638060 is an abundant number, since it is smaller than the sum of its proper divisors (1313881044).

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

487638060 is a wasteful number, since it uses less digits than its factorization.

487638060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 487638060 is about 22082.5283878454. The cubic root of 487638060 is about 787.1047469786.

The spelling of 487638060 in words is "four hundred eighty-seven million, six hundred thirty-eight thousand, sixty".