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493451505 = 32511179817
BaseRepresentation
bin11101011010010…
…111100011110001
31021101111221012200
4131122113203301
52002310422010
6120544213413
715141161061
oct3532274361
91241457180
10493451505
112335a4468
1211930a269
137b301551
144976d3a1
152d4c2cc0
hex1d6978f1

493451505 has 24 divisors (see below), whose sum is σ = 856168872. Its totient is φ = 262911744.

The previous prime is 493451479. The next prime is 493451549. The reversal of 493451505 is 505154394.

It can be written as a sum of positive squares in 4 ways, for example, as 70408881 + 423042624 = 8391^2 + 20568^2 .

It is not a de Polignac number, because 493451505 - 210 = 493450481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 493451505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45357 + ... + 55173.

It is an arithmetic number, because the mean of its divisors is an integer number (35673703).

Almost surely, 2493451505 is an apocalyptic number.

493451505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

493451505 is a deficient number, since it is larger than the sum of its proper divisors (362717367).

493451505 is a wasteful number, since it uses less digits than its factorization.

493451505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 493451505 is about 22213.7683655880. The cubic root of 493451505 is about 790.2202585118.

The spelling of 493451505 in words is "four hundred ninety-three million, four hundred fifty-one thousand, five hundred five".

Divisors: 1 3 5 9 15 45 1117 3351 5585 9817 10053 16755 29451 49085 50265 88353 147255 441765 10965589 32896767 54827945 98690301 164483835 493451505