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83217949 = 973972161
BaseRepresentation
bin1001111010111…
…00111000011101
312210120220120021
410331130320131
5132300433244
612131352141
72030224633
oct475347035
9183526507
1083217949
1142a79971
1223a52651
1314318cb9
14b0a3353
15748c284
hex4f5ce1d

83217949 has 8 divisors (see below), whose sum is σ = 84326648. Its totient is φ = 82114560.

The previous prime is 83217931. The next prime is 83217961. The reversal of 83217949 is 94971238.

It can be written as a sum of positive squares in 4 ways, for example, as 20412324 + 62805625 = 4518^2 + 7925^2 .

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 83217949 - 29 = 83217437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83217989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37429 + ... + 39589.

It is an arithmetic number, because the mean of its divisors is an integer number (10540831).

Almost surely, 283217949 is an apocalyptic number.

It is an amenable number.

83217949 is a deficient number, since it is larger than the sum of its proper divisors (1108699).

83217949 is a wasteful number, since it uses less digits than its factorization.

83217949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655.

The product of its digits is 108864, while the sum is 43.

The square root of 83217949 is about 9122.3872423834. The cubic root of 83217949 is about 436.5885442538.

It can be divided in two parts, 832 and 17949, that added together give a palindrome (18781).

The spelling of 83217949 in words is "eighty-three million, two hundred seventeen thousand, nine hundred forty-nine".

Divisors: 1 97 397 2161 38509 209617 857917 83217949