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82965465 = 3451121693
BaseRepresentation
bin1001111000111…
…11001111011001
312210010002020000
410330133033121
5132214343330
612122123213
72025123552
oct474371731
9183102200
1082965465
1142917200
1223950509
131425b0bb
14b039329
15743c560
hex4f1f3d9

82965465 has 60 divisors (see below), whose sum is σ = 163569252. Its totient is φ = 40201920.

The previous prime is 82965451. The next prime is 82965469. The reversal of 82965465 is 56456928.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 52229529 = 5544^2 + 7227^2 .

It is not a de Polignac number, because 82965465 - 26 = 82965401 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 82965465.

It is not an unprimeable number, because it can be changed into a prime (82965469) 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 59 ways as a sum of consecutive naturals, for example, 48159 + ... + 49851.

Almost surely, 282965465 is an apocalyptic number.

It is an amenable number.

82965465 is a deficient number, since it is larger than the sum of its proper divisors (80603787).

82965465 is a wasteful number, since it uses less digits than its factorization.

82965465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1712 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 82965465 is about 9108.5380275871. The cubic root of 82965465 is about 436.1465591097.

The spelling of 82965465 in words is "eighty-two million, nine hundred sixty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 297 363 405 495 605 891 1089 1485 1693 1815 3267 4455 5079 5445 8465 9801 15237 16335 18623 25395 45711 49005 55869 76185 93115 137133 167607 204853 228555 279345 502821 614559 685665 838035 1024265 1508463 1843677 2514105 3072795 5531031 7542315 9218385 16593093 27655155 82965465