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484535376 = 2432134159107
BaseRepresentation
bin11100111000010…
…110110001010000
31020202201221120200
4130320112301100
51443020113001
6120025135200
715002324403
oct3470266120
91222657520
10484535376
11229564666
1211632a500
13794cc130
14484cbd3a
152c811086
hex1ce16c50

484535376 has 240 divisors, whose sum is σ = 1535526720. Its totient is φ = 141649920.

The previous prime is 484535369. The next prime is 484535399. The reversal of 484535376 is 673535484.

484535376 is a `hidden beast` number, since 4 + 84 + 535 + 37 + 6 = 666.

It is a super-2 number, since 2×4845353762 = 469549061190922752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (225).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4528315 + ... + 4528421.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2484535376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484535376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

484535376 is an abundant number, since it is smaller than the sum of its proper divisors (1050991344).

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

484535376 is a wasteful number, since it uses less digits than its factorization.

484535376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 484535376 is about 22012.1642734194. The cubic root of 484535376 is about 785.4318291574.

The spelling of 484535376 in words is "four hundred eighty-four million, five hundred thirty-five thousand, three hundred seventy-six".