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484149120 = 273571317163
BaseRepresentation
bin11100110110111…
…000011110000000
31020202000022201220
4130312320132000
51442420232440
6120012555040
714666125320
oct3466703600
91222008656
10484149120
11229320444
12116182a80
13793c5390
144842b280
152c7868d0
hex1cdb8780

484149120 has 512 divisors, whose sum is σ = 2023418880. Its totient is φ = 95551488.

The previous prime is 484149119. The next prime is 484149139. The reversal of 484149120 is 21941484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2970159 + ... + 2970321.

It is an arithmetic number, because the mean of its divisors is an integer number (3951990).

Almost surely, 2484149120 is an apocalyptic number.

484149120 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 484149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011709440).

484149120 is an abundant number, since it is smaller than the sum of its proper divisors (1539269760).

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

484149120 is a wasteful number, since it uses less digits than its factorization.

484149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 484149120 is about 22003.3888299053. The cubic root of 484149120 is about 785.2230666867.

The spelling of 484149120 in words is "four hundred eighty-four million, one hundred forty-nine thousand, one hundred twenty".