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249712445 = 53721912
BaseRepresentation
bin11101110001001…
…00111100111101
3122101212201002002
432320210330331
51002411244240
640440112045
76121343423
oct1670447475
9571781062
10249712445
11118a57724
126b765625
133c971858
1425243113
1516dc8d15
hexee24f3d

249712445 has 18 divisors (see below), whose sum is σ = 309593466. Its totient is φ = 193353120.

The previous prime is 249712423. The next prime is 249712469. The reversal of 249712445 is 544217942.

It can be written as a sum of positive squares in 3 ways, for example, as 122722084 + 126990361 = 11078^2 + 11269^2 .

It is not a de Polignac number, because 249712445 - 28 = 249712189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249712399 and 249712408.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1307300 + ... + 1307490.

It is an arithmetic number, because the mean of its divisors is an integer number (17199637).

Almost surely, 2249712445 is an apocalyptic number.

It is an amenable number.

249712445 is a deficient number, since it is larger than the sum of its proper divisors (59881021).

249712445 is an frugal number, since it uses more digits than its factorization.

249712445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 233 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 249712445 is about 15802.2923969910. The cubic root of 249712445 is about 629.7189012186.

The spelling of 249712445 in words is "two hundred forty-nine million, seven hundred twelve thousand, four hundred forty-five".

Divisors: 1 5 37 185 191 955 1369 6845 7067 35335 36481 182405 261479 1307395 1349797 6748985 49942489 249712445