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494720128 = 2771732479
BaseRepresentation
bin11101011111001…
…101010010000000
31021110220101102201
4131133031102000
52003122021003
6121031322544
715155023510
oct3537152200
91243811381
10494720128
11234290611
12119820454
137b656b06
14499bd840
152d673b1d
hex1d7cd480

494720128 has 64 divisors (see below), whose sum is σ = 1192665600. Its totient is φ = 199544832.

The previous prime is 494720123. The next prime is 494720129. The reversal of 494720128 is 821027494.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (494720123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008 + ... + 31471.

It is an arithmetic number, because the mean of its divisors is an integer number (18635400).

Almost surely, 2494720128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596332800).

494720128 is an abundant number, since it is smaller than the sum of its proper divisors (697945472).

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

494720128 is a wasteful number, since it uses less digits than its factorization.

494720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32517 (or 32505 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 494720128 is about 22242.3049165324. The cubic root of 494720128 is about 790.8968759721.

The spelling of 494720128 in words is "four hundred ninety-four million, seven hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 32479 64958 129916 227353 259832 454706 519664 552143 909412 1039328 1104286 1818824 2078656 2208572 3637648 3865001 4157312 4417144 7275296 7730002 8834288 14550592 15460004 17668576 29101184 30920008 35337152 61840016 70674304 123680032 247360064 494720128