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491582364 = 2237131922943
BaseRepresentation
bin11101010011001…
…111001110011100
31021020222222020020
4131103033032130
52001321113424
6120440152140
715116244510
oct3523171634
91236888206
10491582364
11232538119
12118768650
137aac8850
1449404140
152d254079
hex1d4cf39c

491582364 has 288 divisors, whose sum is σ = 1577157120. Its totient is φ = 115831296.

The previous prime is 491582363. The next prime is 491582411. The reversal of 491582364 is 463285194.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491582363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11432127 + ... + 11432169.

It is an arithmetic number, because the mean of its divisors is an integer number (5476240).

Almost surely, 2491582364 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 491582364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788578560).

491582364 is an abundant number, since it is smaller than the sum of its proper divisors (1085574756).

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

491582364 is a wasteful number, since it uses less digits than its factorization.

491582364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 491582364 is about 22171.6567716533. The cubic root of 491582364 is about 789.2212397288.

The spelling of 491582364 in words is "four hundred ninety-one million, five hundred eighty-two thousand, three hundred sixty-four".