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248989969 = 2928613001
BaseRepresentation
bin11101101011101…
…00100100010001
3122100112000000201
432311310210101
51002220134334
640412415201
76112244164
oct1665644421
9570460021
10248989969
11118603938
126b477501
133c77aa57
14250d5adb
1516cd4c14
hexed74911

248989969 has 8 divisors (see below), whose sum is σ = 257751720. Its totient is φ = 240240000.

The previous prime is 248989931. The next prime is 248989987. The reversal of 248989969 is 969989842.

248989969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47775744 + 201214225 = 6912^2 + 14185^2 .

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 248989969 - 27 = 248989841 is a prime.

It is a super-2 number, since 2×2489899692 = 123992009325241922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 248989969.

It is not an unprimeable number, because it can be changed into a prime (248989369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81469 + ... + 84469.

It is an arithmetic number, because the mean of its divisors is an integer number (32218965).

Almost surely, 2248989969 is an apocalyptic number.

248989969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

248989969 is a deficient number, since it is larger than the sum of its proper divisors (8761751).

248989969 is a wasteful number, since it uses less digits than its factorization.

248989969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891.

The product of its digits is 20155392, while the sum is 64.

The square root of 248989969 is about 15779.4159904605. The cubic root of 248989969 is about 629.1110069870. Note that the first 3 decimals are identical.

The spelling of 248989969 in words is "two hundred forty-eight million, nine hundred eighty-nine thousand, nine hundred sixty-nine".

Divisors: 1 29 2861 3001 82969 87029 8585861 248989969