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83278331 = 2310873331
BaseRepresentation
bin1001111011010…
…11100111111011
312210200222101122
410331223213323
5132304401311
612132535455
72030565653
oct475534773
9183628348
1083278331
1143010274
1223a8158b
131433a626
14b0bb363
1574a00db
hex4f6b9fb

83278331 has 8 divisors (see below), whose sum is σ = 87005184. Its totient is φ = 79560360.

The previous prime is 83278309. The next prime is 83278333. The reversal of 83278331 is 13387238.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83278331 - 210 = 83277307 is a prime.

It is a super-3 number, since 3×832783313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83278291 and 83278300.

It is not an unprimeable number, because it can be changed into a prime (83278333) 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 7 ways as a sum of consecutive naturals, for example, 23336 + ... + 26666.

It is an arithmetic number, because the mean of its divisors is an integer number (10875648).

Almost surely, 283278331 is an apocalyptic number.

83278331 is a deficient number, since it is larger than the sum of its proper divisors (3726853).

83278331 is a wasteful number, since it uses less digits than its factorization.

83278331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441.

The product of its digits is 24192, while the sum is 35.

The square root of 83278331 is about 9125.6961926200. The cubic root of 83278331 is about 436.6941132901.

The spelling of 83278331 in words is "eighty-three million, two hundred seventy-eight thousand, three hundred thirty-one".

Divisors: 1 23 1087 3331 25001 76613 3620797 83278331