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494607760 = 24529213193
BaseRepresentation
bin11101011110110…
…001110110010000
31021110200200021221
4131132301312100
52003104422020
6121025054424
715154045063
oct3536616620
91243620257
10494607760
11234214149
12119787414
137b61791a
14499908da
152d6506aa
hex1d7b1d90

494607760 has 40 divisors (see below), whose sum is σ = 1189622520. Its totient is φ = 191020032.

The previous prime is 494607721. The next prime is 494607761. The reversal of 494607760 is 67706494.

It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 431309824 = 7956^2 + 20768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (494607761) 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, 104277 + ... + 108916.

It is an arithmetic number, because the mean of its divisors is an integer number (29740563).

Almost surely, 2494607760 is an apocalyptic number.

494607760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

494607760 is an abundant number, since it is smaller than the sum of its proper divisors (695014760).

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

494607760 is a wasteful number, since it uses less digits than its factorization.

494607760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213235 (or 213229 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 494607760 is about 22239.7787758781. The cubic root of 494607760 is about 790.8369914538.

The spelling of 494607760 in words is "four hundred ninety-four million, six hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 213193 426386 852772 1065965 1705544 2131930 3411088 4263860 6182597 8527720 12365194 17055440 24730388 30912985 49460776 61825970 98921552 123651940 247303880 494607760