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484422480 = 2432517192083
BaseRepresentation
bin11100110111111…
…011001101010000
31020202112012201100
4130313323031100
51443003004410
6120022504400
715001344303
oct3467731520
91222465640
10484422480
11229497863
12116295100
137948c929
144849cb3a
152c7dc8c0
hex1cdfb350

484422480 has 240 divisors, whose sum is σ = 1814080320. Its totient is φ = 115126272.

The previous prime is 484422479. The next prime is 484422511. The reversal of 484422480 is 84224484.

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

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

It is a congruent number.

It is an unprimeable number.

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, 231519 + ... + 233601.

It is an arithmetic number, because the mean of its divisors is an integer number (7558668).

Almost surely, 2484422480 is an apocalyptic number.

484422480 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 484422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907040160).

484422480 is an abundant number, since it is smaller than the sum of its proper divisors (1329657840).

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

484422480 is a wasteful number, since it uses less digits than its factorization.

484422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 484422480 is about 22009.5997237569. The cubic root of 484422480 is about 785.3708229482.

The spelling of 484422480 in words is "four hundred eighty-four million, four hundred twenty-two thousand, four hundred eighty".