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493760413 = 6139720389
BaseRepresentation
bin11101011011100…
…010111110011101
31021102002121221201
4131123202332131
52002400313123
6120554555501
715143615506
oct3533427635
91242077851
10493760413
11233795563
12119438b91
137b3ac033
144980dbad
152d5345ad
hex1d6e2f9d

493760413 has 8 divisors (see below), whose sum is σ = 503143640. Its totient is φ = 484418880.

The previous prime is 493760369. The next prime is 493760431. The reversal of 493760413 is 314067394.

It can be written as a sum of positive squares in 4 ways, for example, as 99261369 + 394499044 = 9963^2 + 19862^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 493760413 - 221 = 491663261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493760213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14023 + ... + 34411.

It is an arithmetic number, because the mean of its divisors is an integer number (62892955).

Almost surely, 2493760413 is an apocalyptic number.

It is an amenable number.

493760413 is a deficient number, since it is larger than the sum of its proper divisors (9383227).

493760413 is a wasteful number, since it uses less digits than its factorization.

493760413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20847.

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 493760413 is about 22220.7203528599. The cubic root of 493760413 is about 790.3851206694.

The spelling of 493760413 in words is "four hundred ninety-three million, seven hundred sixty thousand, four hundred thirteen".

Divisors: 1 61 397 20389 24217 1243729 8094433 493760413