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494883648 = 26337163251
BaseRepresentation
bin11101011111110…
…101001101000000
31021111012200202000
4131133311031000
52003142234043
6121035024000
715156304320
oct3537651500
91244180660
10494883648
11234392456
1211989b000
137b6b337c
1449a23280
152d6a72d3
hex1d7f5340

494883648 has 224 divisors, whose sum is σ = 1679569920. Its totient is φ = 139968000.

The previous prime is 494883647. The next prime is 494883673. The reversal of 494883648 is 846388494.

494883648 is a `hidden beast` number, since 494 + 88 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 junction number, because it is equal to n+sod(n) for n = 494883594 and 494883603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494883643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971523 + ... + 1971773.

It is an arithmetic number, because the mean of its divisors is an integer number (7498080).

Almost surely, 2494883648 is an apocalyptic number.

494883648 is a gapful number since it is divisible by the number (48) 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 494883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839784960).

494883648 is an abundant number, since it is smaller than the sum of its proper divisors (1184686272).

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

494883648 is a wasteful number, since it uses less digits than its factorization.

494883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 494883648 is about 22245.9804908662. The cubic root of 494883648 is about 790.9840048379.

The spelling of 494883648 in words is "four hundred ninety-four million, eight hundred eighty-three thousand, six hundred forty-eight".