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83416431 = 374392377
BaseRepresentation
bin1001111100011…
…01010101101111
312210221222211110
410332031111233
5132323311211
612135523103
72032012410
oct476152557
9183858743
1083416431
11430a4aaa
1223b29493
1314388447
14b115807
1574caea6
hex4f8d56f

83416431 has 16 divisors (see below), whose sum is σ = 130068224. Its totient is φ = 46557504.

The previous prime is 83416387. The next prime is 83416439. The reversal of 83416431 is 13461438.

It is not a de Polignac number, because 83416431 - 26 = 83416367 is a prime.

It is a super-2 number, since 2×834164312 = 13916601921555522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83416439) 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 15 ways as a sum of consecutive naturals, for example, 45286 + ... + 47091.

It is an arithmetic number, because the mean of its divisors is an integer number (8129264).

Almost surely, 283416431 is an apocalyptic number.

83416431 is a deficient number, since it is larger than the sum of its proper divisors (46651793).

83416431 is a wasteful number, since it uses less digits than its factorization.

83416431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92430.

The product of its digits is 6912, while the sum is 30.

The square root of 83416431 is about 9133.2596043253. The cubic root of 83416431 is about 436.9353691333.

Adding to 83416431 its reverse (13461438), we get a palindrome (96877869).

The spelling of 83416431 in words is "eighty-three million, four hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 43 129 301 903 92377 277131 646639 1939917 3972211 11916633 27805477 83416431