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83349357 = 37131092801
BaseRepresentation
bin1001111011111…
…00111101101101
312210211120211020
410331330331231
5132314134412
612134244353
72031313020
oct475747555
9183746736
1083349357
1143059673
1223ab66b9
1314363a60
14b0d91b7
1574b618c
hex4f7cf6d

83349357 has 32 divisors (see below), whose sum is σ = 138082560. Its totient is φ = 43545600.

The previous prime is 83349349. The next prime is 83349367. The reversal of 83349357 is 75394338.

It is a happy number.

It is not a de Polignac number, because 83349357 - 23 = 83349349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83349307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28357 + ... + 31157.

It is an arithmetic number, because the mean of its divisors is an integer number (4315080).

Almost surely, 283349357 is an apocalyptic number.

It is an amenable number.

83349357 is a deficient number, since it is larger than the sum of its proper divisors (54733203).

83349357 is a wasteful number, since it uses less digits than its factorization.

83349357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933.

The product of its digits is 272160, while the sum is 42.

The square root of 83349357 is about 9129.5869019359. The cubic root of 83349357 is about 436.8182264983.

The spelling of 83349357 in words is "eighty-three million, three hundred forty-nine thousand, three hundred fifty-seven".

Divisors: 1 3 7 13 21 39 91 109 273 327 763 1417 2289 2801 4251 8403 9919 19607 29757 36413 58821 109239 254891 305309 764673 915927 2137163 3969017 6411489 11907051 27783119 83349357