Search a number
-
+
506263977 = 3256251553
BaseRepresentation
bin11110001011001…
…111100110101001
31022021121212121200
4132023033212221
52014100421402
6122122554413
715355113162
oct3613174651
91267555550
10506263977
1123a85568a
12121668a09
1380b692ab
144b346769
152e6a421c
hex1e2cf9a9

506263977 has 6 divisors (see below), whose sum is σ = 731270202. Its totient is φ = 337509312.

The previous prime is 506263969. The next prime is 506263997. The reversal of 506263977 is 779362605.

506263977 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 639 + 7 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 435097881 + 71166096 = 20859^2 + 8436^2 .

It is not a de Polignac number, because 506263977 - 23 = 506263969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506263957) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 28125768 + ... + 28125785.

It is an arithmetic number, because the mean of its divisors is an integer number (121878367).

Almost surely, 2506263977 is an apocalyptic number.

It is an amenable number.

506263977 is a deficient number, since it is larger than the sum of its proper divisors (225006225).

506263977 is a wasteful number, since it uses less digits than its factorization.

506263977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56251559 (or 56251556 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 506263977 is about 22500.3105978562. The cubic root of 506263977 is about 797.0012615250.

The spelling of 506263977 in words is "five hundred six million, two hundred sixty-three thousand, nine hundred seventy-seven".

Divisors: 1 3 9 56251553 168754659 506263977