Search a number
-
+
486988920 = 2332511313967
BaseRepresentation
bin11101000001101…
…101110001111000
31020221100121012200
4131001231301320
51444132121140
6120153510200
715032223525
oct3501556170
91227317180
10486988920
1122a98aa90
12117112360
1379b7ab32
144896a14c
152cb48030
hex1d06dc78

486988920 has 192 divisors, whose sum is σ = 1782743040. Its totient is φ = 114220800.

The previous prime is 486988903. The next prime is 486988921. The reversal of 486988920 is 29889684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486988921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120777 + ... + 124743.

It is an arithmetic number, because the mean of its divisors is an integer number (9285120).

Almost surely, 2486988920 is an apocalyptic number.

486988920 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 486988920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891371520).

486988920 is an abundant number, since it is smaller than the sum of its proper divisors (1295754120).

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

486988920 is a wasteful number, since it uses less digits than its factorization.

486988920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 486988920 is about 22067.8254479230. The cubic root of 486988920 is about 786.7553293090.

The spelling of 486988920 in words is "four hundred eighty-six million, nine hundred eighty-eight thousand, nine hundred twenty".