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83790977 = 1737133213
BaseRepresentation
bin1001111111010…
…00110010000001
312211200000121112
410333220302001
5132422302402
612151533105
72035132364
oct477506201
9184600545
1083790977
1143330446
122408a195
1314489a7a
14b1b20db
157551e52
hex4fe8c81

83790977 has 8 divisors (see below), whose sum is σ = 91118376. Its totient is φ = 76730112.

The previous prime is 83790953. The next prime is 83790979. The reversal of 83790977 is 77909738.

It can be written as a sum of positive squares in 4 ways, for example, as 63504961 + 20286016 = 7969^2 + 4504^2 .

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

It is not a de Polignac number, because 83790977 - 212 = 83786881 is a prime.

It is a super-2 number, since 2×837909772 = 14041855653229058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83790979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65978 + ... + 67235.

It is an arithmetic number, because the mean of its divisors is an integer number (11389797).

Almost surely, 283790977 is an apocalyptic number.

It is an amenable number.

83790977 is a deficient number, since it is larger than the sum of its proper divisors (7327399).

83790977 is a wasteful number, since it uses less digits than its factorization.

83790977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133267.

The product of its (nonzero) digits is 666792, while the sum is 50.

The square root of 83790977 is about 9153.7411477494. The cubic root of 83790977 is about 437.5883502659.

The spelling of 83790977 in words is "eighty-three million, seven hundred ninety thousand, nine hundred seventy-seven".

Divisors: 1 17 37 629 133213 2264621 4928881 83790977