Search a number
-
+
495066420 = 223252750369
BaseRepresentation
bin11101100000100…
…001110100110100
31021111112222110100
4131200201310310
52003214111140
6121042554100
715160665222
oct3540416464
91244488410
10495066420
112344a7802
12119968930
137b748614
1449a6db12
152d6e1530
hex1d821d34

495066420 has 36 divisors (see below), whose sum is σ = 1501702020. Its totient is φ = 132017664.

The previous prime is 495066391. The next prime is 495066427. The reversal of 495066420 is 24660594.

495066420 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 6 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258952464 + 236113956 = 16092^2 + 15366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495066427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1375005 + ... + 1375364.

It is an arithmetic number, because the mean of its divisors is an integer number (41713945).

Almost surely, 2495066420 is an apocalyptic number.

It is an amenable number.

495066420 is an abundant number, since it is smaller than the sum of its proper divisors (1006635600).

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

495066420 is a wasteful number, since it uses less digits than its factorization.

495066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750384 (or 2750379 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 495066420 is about 22250.0880897133. The cubic root of 495066420 is about 791.0813690938.

The spelling of 495066420 in words is "four hundred ninety-five million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2750369 5500738 8251107 11001476 13751845 16502214 24753321 27503690 33004428 41255535 49506642 55007380 82511070 99013284 123766605 165022140 247533210 495066420