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494169984 = 2734711619
BaseRepresentation
bin11101011101000…
…110111110000000
31021102212102210000
4131131012332000
52003001414414
6121011440000
715150242550
oct3535067600
91242772700
10494169984
11233a45250
121195b6000
137b4c3599
14498b9160
152d5b5b09
hex1d746f80

494169984 has 320 divisors, whose sum is σ = 1836489600. Its totient is φ = 128148480.

The previous prime is 494169979. The next prime is 494169989. The reversal of 494169984 is 489961494.

It is a happy number.

494169984 is a `hidden beast` number, since 494 + 1 + 69 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (494169979) and next prime (494169989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 494169984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494169989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798027 + ... + 798645.

It is an arithmetic number, because the mean of its divisors is an integer number (5739030).

Almost surely, 2494169984 is an apocalyptic number.

494169984 is a gapful number since it is divisible by the number (44) 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 494169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918244800).

494169984 is an abundant number, since it is smaller than the sum of its proper divisors (1342319616).

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

494169984 is a wasteful number, since it uses less digits than its factorization.

494169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 642 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 494169984 is about 22229.9344128587. The cubic root of 494169984 is about 790.6036000165.

The spelling of 494169984 in words is "four hundred ninety-four million, one hundred sixty-nine thousand, nine hundred eighty-four".