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18249296 = 2413217397
BaseRepresentation
bin100010110011…
…1011001010000
31021100011022212
41011213121100
514132434141
61451051252
7311054642
oct105473120
937304285
1018249296
11a334a6a
126140b28
133a1c600
1425d0892
1519072eb
hex1167650

18249296 has 60 divisors (see below), whose sum is σ = 40641372. Its totient is φ = 7907328.

The previous prime is 18249277. The next prime is 18249299. The reversal of 18249296 is 69294281.

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 17808400 = 664^2 + 4220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18249299) 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 11 ways as a sum of consecutive naturals, for example, 45770 + ... + 46166.

Almost surely, 218249296 is an apocalyptic number.

18249296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18249296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320686).

18249296 is an abundant number, since it is smaller than the sum of its proper divisors (22392076).

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

18249296 is a wasteful number, since it uses less digits than its factorization.

18249296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 18249296 is about 4271.9194748965. The cubic root of 18249296 is about 263.2784859689.

The spelling of 18249296 in words is "eighteen million, two hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 397 442 676 794 884 1352 1588 1768 2704 2873 3176 3536 5161 5746 6352 6749 10322 11492 13498 20644 22984 26996 41288 45968 53992 67093 82576 87737 107984 134186 175474 268372 350948 536744 701896 1073488 1140581 1403792 2281162 4562324 9124648 18249296