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84768849 = 36112312
BaseRepresentation
bin1010000110101…
…11100001010001
312220111201000000
411003113201101
5133200100344
612224520213
72046344334
oct503274121
9186451000
1084768849
1143939100
1224480069
131473cba9
14b38861b
157696a69
hex50d7851

84768849 has 63 divisors (see below), whose sum is σ = 144351417. Its totient is φ = 49717800.

The previous prime is 84768839. The next prime is 84768857. The reversal of 84768849 is 94886748.

The square root of 84768849 is 9207.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 84768849 - 27 = 84768721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84768795 and 84768804.

It is not an unprimeable number, because it can be changed into a prime (84768809) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2734464 + ... + 2734494.

Almost surely, 284768849 is an apocalyptic number.

84768849 is the 9207-th square number.

84768849 is the 4604-th centered octagonal number.

It is an amenable number.

84768849 is a deficient number, since it is larger than the sum of its proper divisors (59582568).

84768849 is an equidigital number, since it uses as much as digits as its factorization.

84768849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The cubic root of 84768849 is about 439.2840439811.

It can be divided in two parts, 847 and 68849, that added together give a palindrome (69696).

The spelling of 84768849 in words is "eighty-four million, seven hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 27 31 33 81 93 99 121 243 279 297 341 363 729 837 891 961 1023 1089 2511 2673 2883 3069 3267 3751 7533 8019 8649 9207 9801 10571 11253 22599 25947 27621 29403 31713 33759 77841 82863 88209 95139 101277 116281 233523 248589 285417 303831 348843 700569 856251 911493 1046529 2568753 2734479 3139587 7706259 9418761 28256283 84768849