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495352000 = 26531113433
BaseRepresentation
bin11101100001100…
…111100011000000
31021112002111012101
4131201213203000
52003302231000
6121053040144
715163264633
oct3541474300
91245074171
10495352000
11234682320
12119a86054
137b8185c0
1449b05c1a
152d74ae6a
hex1d8678c0

495352000 has 224 divisors, whose sum is σ = 1444532544. Its totient is φ = 165888000.

The previous prime is 495351991. The next prime is 495352009. The reversal of 495352000 is 253594.

It is an interprime number because it is at equal distance from previous prime (495351991) and next prime (495352009).

It is a self number, because there is not a number n which added to its sum of digits gives 495352000.

It is not an unprimeable number, because it can be changed into a prime (495352009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143784 + ... + 1144216.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2495352000 is an apocalyptic number.

495352000 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 495352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722266272).

495352000 is an abundant number, since it is smaller than the sum of its proper divisors (949180544).

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

495352000 is a wasteful number, since it uses less digits than its factorization.

495352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 495352000 is about 22256.5046671754. The cubic root of 495352000 is about 791.2334521154.

It can be divided in two parts, 4953 and 52000, that added together give a triangular number (56953 = T337).

The spelling of 495352000 in words is "four hundred ninety-five million, three hundred fifty-two thousand".