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5482882440 = 233357319241
BaseRepresentation
bin1010001101100111…
…00010010110001000
3112011010000021202000
411012303202112020
542212104214230
62304021111000
7252604506000
oct50663422610
915133007660
105482882440
112363a42802
121090258460
13694bcc549
143a027d000
1522153cb60
hex146ce2588

5482882440 has 768 divisors, whose sum is σ = 23042880000. Its totient is φ = 1158312960.

The previous prime is 5482882411. The next prime is 5482882441. The reversal of 5482882440 is 442882845.

5482882440 is a `hidden beast` number, since 54 + 82 + 8 + 82 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5482882441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133728820 + ... + 133728860.

It is an arithmetic number, because the mean of its divisors is an integer number (30003750).

Almost surely, 25482882440 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 5482882440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521440000).

5482882440 is an abundant number, since it is smaller than the sum of its proper divisors (17559997560).

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

5482882440 is a wasteful number, since it uses less digits than its factorization.

5482882440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 5482882440 is about 74046.4883704825. The cubic root of 5482882440 is about 1763.3410236986.

The spelling of 5482882440 in words is "five billion, four hundred eighty-two million, eight hundred eighty-two thousand, four hundred forty".