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494137728 = 27327292113
BaseRepresentation
bin11101011100111…
…111000110000000
31021102210210112100
4131130333012000
52002444401403
6121011030400
715150046530
oct3534770600
91242723470
10494137728
11233a22a97
1211959b400
137b4b19b6
14498ab4c0
152d5ab2a3
hex1d73f180

494137728 has 192 divisors, whose sum is σ = 1681898400. Its totient is φ = 136249344.

The previous prime is 494137703. The next prime is 494137741. The reversal of 494137728 is 827731494.

494137728 is a `hidden beast` number, since 494 + 137 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232800 + ... + 234912.

Almost surely, 2494137728 is an apocalyptic number.

494137728 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 494137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840949200).

494137728 is an abundant number, since it is smaller than the sum of its proper divisors (1187760672).

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

494137728 is a wasteful number, since it uses less digits than its factorization.

494137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2154 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 494137728 is about 22229.2088928059. The cubic root of 494137728 is about 790.5863979299.

The spelling of 494137728 in words is "four hundred ninety-four million, one hundred thirty-seven thousand, seven hundred twenty-eight".