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484396640 = 2557131719103
BaseRepresentation
bin11100110111110…
…100111001100000
31020202110220021022
4130313310321200
51443001143030
6120022145012
715001206050
oct3467647140
91222426238
10484396640
1122947a402
12116282168
1379480c40
1448493560
152c7d4de5
hex1cdf4e60

484396640 has 384 divisors, whose sum is σ = 1585059840. Its totient is φ = 135364608.

The previous prime is 484396631. The next prime is 484396681. The reversal of 484396640 is 46693484.

It is a junction number, because it is equal to n+sod(n) for n = 484396591 and 484396600.

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, 4702829 + ... + 4702931.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2484396640 is an apocalyptic number.

484396640 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 484396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

484396640 is an abundant number, since it is smaller than the sum of its proper divisors (1100663200).

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

484396640 is a wasteful number, since it uses less digits than its factorization.

484396640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 484396640 is about 22009.0126993466. The cubic root of 484396640 is about 785.3568583176.

The spelling of 484396640 in words is "four hundred eighty-four million, three hundred ninety-six thousand, six hundred forty".