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508108968 = 23327057069
BaseRepresentation
bin11110010010010…
…010000010101000
31022102002121110200
4132102102002220
52020033441333
6122230312200
715406566153
oct3622220250
91272077420
10508108968
112408a5874
121221b8660
1381363cc3
144b6a6c9a
152e91ac13
hex1e4920a8

508108968 has 24 divisors (see below), whose sum is σ = 1376128650. Its totient is φ = 169369632.

The previous prime is 508108967. The next prime is 508108999. The reversal of 508108968 is 869801805.

508108968 is a `hidden beast` number, since 508 + 1 + 0 + 89 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440244324 + 67864644 = 20982^2 + 8238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (508108967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3528463 + ... + 3528606.

Almost surely, 2508108968 is an apocalyptic number.

It is an amenable number.

508108968 is an abundant number, since it is smaller than the sum of its proper divisors (868019682).

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

508108968 is a wasteful number, since it uses less digits than its factorization.

508108968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057081 (or 7057074 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 508108968 is about 22541.2725461541. The cubic root of 508108968 is about 797.9682652690.

It can be divided in two parts, 50 and 8108968, that added together give a palindrome (8109018).

The spelling of 508108968 in words is "five hundred eight million, one hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7057069 14114138 21171207 28228276 42342414 56456552 63513621 84684828 127027242 169369656 254054484 508108968