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248964969 = 31143473733
BaseRepresentation
bin11101101011011…
…10011101101001
3122100110201201210
432311232131221
51002213334334
640412103333
76112111251
oct1665563551
9570421653
10248964969
11118597080
126b464b49
133c76c566
14250ca961
1516ccc5e9
hexed6e769

248964969 has 32 divisors (see below), whose sum is σ = 378537984. Its totient is φ = 144204480.

The previous prime is 248964943. The next prime is 248965001. The reversal of 248964969 is 969469842.

It is not a de Polignac number, because 248964969 - 27 = 248964841 is a prime.

It is a super-2 number, since 2×2489649692 = 123967111578341922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248964929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64827 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (11829312).

Almost surely, 2248964969 is an apocalyptic number.

It is an amenable number.

248964969 is a deficient number, since it is larger than the sum of its proper divisors (129573015).

248964969 is a wasteful number, since it uses less digits than its factorization.

248964969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837.

The product of its digits is 6718464, while the sum is 57.

The square root of 248964969 is about 15778.6237993052. The cubic root of 248964969 is about 629.0899508488.

The spelling of 248964969 in words is "two hundred forty-eight million, nine hundred sixty-four thousand, nine hundred sixty-nine".

Divisors: 1 3 11 33 43 47 129 141 473 517 1419 1551 2021 3733 6063 11199 22231 41063 66693 123189 160519 175451 481557 526353 1765709 1929961 5297127 5789883 7544393 22633179 82988323 248964969