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482908608 = 26337133783
BaseRepresentation
bin11100110010001…
…001100111000000
31020122200022002000
4130302021213000
51442111033413
6115530224000
714652440550
oct3462114700
91218608060
10482908608
11228653426
12115885000
137907c850
14481c7160
152c5de073
hex1cc899c0

482908608 has 448 divisors, whose sum is σ = 1816120320. Its totient is φ = 122425344.

The previous prime is 482908603. The next prime is 482908627. The reversal of 482908608 is 806809284.

It is a happy number.

482908608 is a `hidden beast` number, since 482 + 90 + 86 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482908603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5818135 + ... + 5818217.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2482908608 is an apocalyptic number.

482908608 is a gapful number since it is divisible by the number (48) 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 482908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908060160).

482908608 is an abundant number, since it is smaller than the sum of its proper divisors (1333211712).

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

482908608 is a wasteful number, since it uses less digits than its factorization.

482908608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 482908608 is about 21975.1816374746. The cubic root of 482908608 is about 784.5518466515.

The spelling of 482908608 in words is "four hundred eighty-two million, nine hundred eight thousand, six hundred eight".