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485358120 = 2332513137757
BaseRepresentation
bin11100111011011…
…111101000101000
31020211021202011200
4130323133220220
51443222424440
6120054524200
715012322152
oct3473375050
91224252150
10485358120
11229a76815
12116666660
1379729770
1448663ad2
152c924c30
hex1cedfa28

485358120 has 192 divisors, whose sum is σ = 1713413520. Its totient is φ = 118444032.

The previous prime is 485358089. The next prime is 485358127. The reversal of 485358120 is 21853584.

It is a happy number.

485358120 is a `hidden beast` number, since 4 + 8 + 53 + 581 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165019716 + 320338404 = 12846^2 + 17898^2 .

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

It is not an unprimeable number, because it can be changed into a prime (485358127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640782 + ... + 641538.

Almost surely, 2485358120 is an apocalyptic number.

485358120 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 485358120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856706760).

485358120 is an abundant number, since it is smaller than the sum of its proper divisors (1228055400).

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

485358120 is a wasteful number, since it uses less digits than its factorization.

485358120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 485358120 is about 22030.8447409535. The cubic root of 485358120 is about 785.8761337742.

The spelling of 485358120 in words is "four hundred eighty-five million, three hundred fifty-eight thousand, one hundred twenty".