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85527765 = 3351783449
BaseRepresentation
bin1010001100100…
…00110011010101
312221221021001000
411012100303111
5133343342030
612253053513
72055655041
oct506206325
9187837030
1085527765
1144307304
1224787299
131494745b
14b505021
157796860
hex5190cd5

85527765 has 64 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 42319872.

The previous prime is 85527737. The next prime is 85527809. The reversal of 85527765 is 56772558.

It is not a de Polignac number, because 85527765 - 211 = 85525717 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 85527765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190261 + ... + 190709.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 285527765 is an apocalyptic number.

85527765 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85527765 is a deficient number, since it is larger than the sum of its proper divisors (77768235).

85527765 is a wasteful number, since it uses less digits than its factorization.

85527765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 85527765 is about 9248.1222418392. The cubic root of 85527765 is about 440.5910874760.

The spelling of 85527765 in words is "eighty-five million, five hundred twenty-seven thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 83 85 135 153 249 255 415 449 459 747 765 1245 1347 1411 2241 2245 2295 3735 4041 4233 6735 7055 7633 11205 12123 12699 20205 21165 22899 37267 38097 38165 60615 63495 68697 111801 114495 186335 190485 206091 335403 343485 559005 633539 1006209 1030455 1677015 1900617 3167695 5031045 5701851 9503085 17105553 28509255 85527765