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83349441 = 3272331571
BaseRepresentation
bin1001111011111…
…00111111000001
312210211120221100
410331330333001
5132314140231
612134245013
72031313200
oct475747701
9183746840
1083349441
114305973a
1223ab6769
1314363ac6
14b0d9237
1574b61e6
hex4f7cfc1

83349441 has 36 divisors (see below), whose sum is σ = 140718864. Its totient is φ = 47401200.

The previous prime is 83349397. The next prime is 83349449. The reversal of 83349441 is 14494338.

It is not a de Polignac number, because 83349441 - 27 = 83349313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83349396 and 83349405.

It is not an unprimeable number, because it can be changed into a prime (83349449) 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 35 ways as a sum of consecutive naturals, for example, 145686 + ... + 146256.

Almost surely, 283349441 is an apocalyptic number.

It is an amenable number.

83349441 is a deficient number, since it is larger than the sum of its proper divisors (57369423).

83349441 is a wasteful number, since it uses less digits than its factorization.

83349441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83349441 is about 9129.5915023620. The cubic root of 83349441 is about 436.8183732410.

The spelling of 83349441 in words is "eighty-three million, three hundred forty-nine thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 331 441 571 993 1713 2317 2979 3997 5139 6951 11991 16219 20853 27979 35973 48657 83937 145971 189001 251811 567003 1323007 1701009 3969021 9261049 11907063 27783147 83349441