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484289280 = 28375173
BaseRepresentation
bin11100110111011…
…010101100000000
31020202021110000000
4130313122230000
51442434224110
6120020000000
715000251046
oct3467325400
91222243000
10484289280
11229406782
12116230000
1379444107
1448466396
152c7b31c0
hex1cddab00

484289280 has 288 divisors, whose sum is σ = 1749827520. Its totient is φ = 128397312.

The previous prime is 484289279. The next prime is 484289293. The reversal of 484289280 is 82982484.

It is a happy number.

484289280 is a `hidden beast` number, since 484 + 2 + 8 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4842892802 = 469072213445836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799274 + ... + 2799446.

It is an arithmetic number, because the mean of its divisors is an integer number (6075790).

Almost surely, 2484289280 is an apocalyptic number.

484289280 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 484289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874913760).

484289280 is an abundant number, since it is smaller than the sum of its proper divisors (1265538240).

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

484289280 is an frugal number, since it uses more digits than its factorization.

484289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 484289280 is about 22006.5735633697. The cubic root of 484289280 is about 785.2988327691.

The spelling of 484289280 in words is "four hundred eighty-four million, two hundred eighty-nine thousand, two hundred eighty".