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493861050 = 2365217797
BaseRepresentation
bin11101011011111…
…011100010111010
31021102021202000000
4131123323202322
52002412023200
6121001053430
715144515064
oct3533734272
91242252000
10493861050
11233854131
12119487276
137b415a97
1449838734
152d554300
hex1d6fb8ba

493861050 has 168 divisors, whose sum is σ = 1460086236. Its totient is φ = 123793920.

The previous prime is 493861021. The next prime is 493861061. The reversal of 493861050 is 50168394.

493861050 is a `hidden beast` number, since 4 + 9 + 38 + 610 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 246081969 + 247779081 = 15687^2 + 15741^2 .

It is a junction number, because it is equal to n+sod(n) for n = 493860996 and 493861014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 619252 + ... + 620048.

Almost surely, 2493861050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493861050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730043118).

493861050 is an abundant number, since it is smaller than the sum of its proper divisors (966225186).

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

493861050 is a wasteful number, since it uses less digits than its factorization.

493861050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 493861050 is about 22222.9847230294. The cubic root of 493861050 is about 790.4388151212.

The spelling of 493861050 in words is "four hundred ninety-three million, eight hundred sixty-one thousand, fifty".