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485442000 = 243253149181
BaseRepresentation
bin11100111011110…
…100000111010000
31020211110000020100
4130323310013100
51443233121000
6120100412400
715013121541
oct3473640720
91224400210
10485442000
1122a02383a
121166a7100
13797589b4
14486864c8
152c93ea00
hex1cef41d0

485442000 has 240 divisors, whose sum is σ = 1716296400. Its totient is φ = 127872000.

The previous prime is 485441951. The next prime is 485442037. The reversal of 485442000 is 244584.

It can be written as a sum of positive squares in 8 ways, for example, as 409333824 + 76108176 = 20232^2 + 8724^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681910 + ... + 2682090.

It is an arithmetic number, because the mean of its divisors is an integer number (7151235).

Almost surely, 2485442000 is an apocalyptic number.

485442000 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 485442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858148200).

485442000 is an abundant number, since it is smaller than the sum of its proper divisors (1230854400).

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

485442000 is a wasteful number, since it uses less digits than its factorization.

485442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 485442000 is about 22032.7483533035. The cubic root of 485442000 is about 785.9214030921.

Adding to 485442000 its reverse (244584), we get a palindrome (485686584).

The spelling of 485442000 in words is "four hundred eighty-five million, four hundred forty-two thousand".