Search a number
-
+
249969906 = 232101313709
BaseRepresentation
bin11101110011000…
…11110011110010
3122102100210020200
432321203303302
51002443014111
640445420030
76123465144
oct1671436362
9572323220
10249969906
111191130aa
126b86a616
133ca31ab4
14252acc94
1516e2a256
hexee63cf2

249969906 has 24 divisors (see below), whose sum is σ = 542175660. Its totient is φ = 83234976.

The previous prime is 249969901. The next prime is 249969917. The reversal of 249969906 is 609969942.

249969906 is a `hidden beast` number, since 2 + 499 + 69 + 90 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243079281 + 6890625 = 15591^2 + 2625^2 .

It is not an unprimeable number, because it can be changed into a prime (249969901) 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 11 ways as a sum of consecutive naturals, for example, 11380 + ... + 25088.

Almost surely, 2249969906 is an apocalyptic number.

249969906 is an abundant number, since it is smaller than the sum of its proper divisors (292205754).

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

249969906 is a wasteful number, since it uses less digits than its factorization.

249969906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14730 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 249969906 is about 15810.4366163620. The cubic root of 249969906 is about 629.9352465571.

The spelling of 249969906 in words is "two hundred forty-nine million, nine hundred sixty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 1013 2026 3039 6078 9117 13709 18234 27418 41127 82254 123381 246762 13887217 27774434 41661651 83323302 124984953 249969906