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494983440 = 243357191723
BaseRepresentation
bin11101100000001…
…101100100010000
31021111101202122000
4131200031210100
52003203432230
6121041114000
715160201260
oct3540154420
91244352560
10494983440
11234450426
12119928900
137b719913
1449a4b7a0
152d6c6b60
hex1d80d910

494983440 has 320 divisors, whose sum is σ = 2052249600. Its totient is φ = 107122176.

The previous prime is 494983429. The next prime is 494983453. The reversal of 494983440 is 44389494.

494983440 is a `hidden beast` number, since 494 + 98 + 34 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286419 + ... + 288141.

It is an arithmetic number, because the mean of its divisors is an integer number (6413280).

Almost surely, 2494983440 is an apocalyptic number.

494983440 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 494983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026124800).

494983440 is an abundant number, since it is smaller than the sum of its proper divisors (1557266160).

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

494983440 is a wasteful number, since it uses less digits than its factorization.

494983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 494983440 is about 22248.2232998503. The cubic root of 494983440 is about 791.0371678868.

The spelling of 494983440 in words is "four hundred ninety-four million, nine hundred eighty-three thousand, four hundred forty".