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83984265 = 3253750441
BaseRepresentation
bin1010000000101…
…11111110001001
312212000211202100
411000113332021
5132444444030
612200024013
72036566041
oct500277611
9185024670
1083984265
1143452692
1224162009
1314526a41
14b222721
15758e360
hex5017f89

83984265 has 24 divisors (see below), whose sum is σ = 149510088. Its totient is φ = 43580160.

The previous prime is 83984213. The next prime is 83984269. The reversal of 83984265 is 56248938.

It can be written as a sum of positive squares in 4 ways, for example, as 40106889 + 43877376 = 6333^2 + 6624^2 .

It is not a de Polignac number, because 83984265 - 27 = 83984137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 83984265.

It is not an unprimeable number, because it can be changed into a prime (83984269) 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 23 ways as a sum of consecutive naturals, for example, 23556 + ... + 26885.

It is an arithmetic number, because the mean of its divisors is an integer number (6229587).

Almost surely, 283984265 is an apocalyptic number.

It is an amenable number.

83984265 is a deficient number, since it is larger than the sum of its proper divisors (65525823).

83984265 is a wasteful number, since it uses less digits than its factorization.

83984265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50489 (or 50486 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 83984265 is about 9164.2929350823. The cubic root of 83984265 is about 437.9245663551.

The spelling of 83984265 in words is "eighty-three million, nine hundred eighty-four thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 50441 151323 252205 453969 756615 1866317 2269845 5598951 9331585 16796853 27994755 83984265