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86448285 = 32571161409
BaseRepresentation
bin1010010011100…
…01100010011101
320000200000202100
411021301202131
5134112321120
612324515313
72066540550
oct511614235
9200600670
1086448285
1144885970
1224b4bb39
1314baa441
14b6a4697
1578c9490
hex527189d

86448285 has 96 divisors (see below), whose sum is σ = 190344960. Its totient is φ = 35251200.

The previous prime is 86448259. The next prime is 86448289. The reversal of 86448285 is 58284468.

It is not a de Polignac number, because 86448285 - 26 = 86448221 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86448285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448289) 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 95 ways as a sum of consecutive naturals, for example, 211161 + ... + 211569.

It is an arithmetic number, because the mean of its divisors is an integer number (1982760).

Almost surely, 286448285 is an apocalyptic number.

It is an amenable number.

86448285 is an abundant number, since it is smaller than the sum of its proper divisors (103896675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86448285 is a wasteful number, since it uses less digits than its factorization.

86448285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 496 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 86448285 is about 9297.7569875750. The cubic root of 86448285 is about 442.1661179545.

The spelling of 86448285 in words is "eighty-six million, four hundred forty-eight thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 61 63 77 99 105 165 183 231 305 315 385 409 427 495 549 671 693 915 1155 1227 1281 2013 2045 2135 2745 2863 3355 3465 3681 3843 4499 4697 6039 6135 6405 8589 10065 13497 14091 14315 18405 19215 22495 23485 24949 25767 30195 31493 40491 42273 42945 67485 70455 74847 94479 124745 128835 157465 174643 202455 211365 224541 274439 283437 374235 472395 523929 823317 873215 1122705 1372195 1417185 1571787 1921073 2469951 2619645 4116585 5763219 7858935 9605365 12349755 17289657 28816095 86448285