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485334000 = 24325359457
BaseRepresentation
bin11100111011011…
…001101111110000
31020211020112002100
4130323121233300
51443221142000
6120054220400
715012161634
oct3473315760
91224215070
10485334000
11229a5a688
12116654700
137971b7a8
1448658dc4
152c91ca00
hex1ced9bf0

485334000 has 240 divisors, whose sum is σ = 1727612640. Its totient is φ = 126950400.

The previous prime is 485333939. The next prime is 485334011. The reversal of 485334000 is 433584.

It is a happy number.

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, 1061772 + ... + 1062228.

It is an arithmetic number, because the mean of its divisors is an integer number (7198386).

Almost surely, 2485334000 is an apocalyptic number.

485334000 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 485334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863806320).

485334000 is an abundant number, since it is smaller than the sum of its proper divisors (1242278640).

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

485334000 is a wasteful number, since it uses less digits than its factorization.

485334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 485334000 is about 22030.2973198275. The cubic root of 485334000 is about 785.8631154512.

Adding to 485334000 its reverse (433584), we get a palindrome (485767584).

The spelling of 485334000 in words is "four hundred eighty-five million, three hundred thirty-four thousand".