Search a number
-
+
485334720 = 263351329149
BaseRepresentation
bin11100111011011…
…001111011000000
31020211020120002000
4130323121323000
51443221202340
6120054224000
715012164013
oct3473317300
91224216060
10485334720
11229a60182
12116655000
137971bc10
144865937a
152c91cd30
hex1ced9ec0

485334720 has 448 divisors, whose sum is σ = 1920240000. Its totient is φ = 114573312.

The previous prime is 485334701. The next prime is 485334721. The reversal of 485334720 is 27433584.

It is a happy number.

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

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (485334721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257206 + ... + 3257354.

It is an arithmetic number, because the mean of its divisors is an integer number (4286250).

Almost surely, 2485334720 is an apocalyptic number.

485334720 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 485334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960120000).

485334720 is an abundant number, since it is smaller than the sum of its proper divisors (1434905280).

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

485334720 is a wasteful number, since it uses less digits than its factorization.

485334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 485334720 is about 22030.3136609536. The cubic root of 485334720 is about 785.8635040641.

The spelling of 485334720 in words is "four hundred eighty-five million, three hundred thirty-four thousand, seven hundred twenty".