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85290975 = 3452711547
BaseRepresentation
bin1010001010101…
…10111111011111
312221111020020000
411011112333133
5133313302400
612244025343
72053650510
oct505267737
9187436200
1085290975
1144165410
1224692253
1314893743
14b482a07
15774b600
hex5156fdf

85290975 has 120 divisors (see below), whose sum is σ = 197332608. Its totient is φ = 35380800.

The previous prime is 85290971. The next prime is 85290977. The reversal of 85290975 is 57909258.

It is a happy number.

It is not a de Polignac number, because 85290975 - 22 = 85290971 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 85290975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85290971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 155652 + ... + 156198.

Almost surely, 285290975 is an apocalyptic number.

85290975 is an abundant number, since it is smaller than the sum of its proper divisors (112041633).

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

85290975 is a wasteful number, since it uses less digits than its factorization.

85290975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85290975 is about 9235.3113103999. The cubic root of 85290975 is about 440.1841085590.

The spelling of 85290975 in words is "eighty-five million, two hundred ninety thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 135 165 175 189 225 231 275 297 315 385 405 495 525 547 567 675 693 825 891 945 1155 1485 1575 1641 1925 2025 2079 2475 2735 2835 3465 3829 4455 4725 4923 5775 6017 6237 7425 8205 10395 11487 13675 14175 14769 17325 18051 19145 22275 24615 30085 31185 34461 41025 42119 44307 51975 54153 57435 73845 90255 95725 103383 123075 126357 150425 155925 162459 172305 210595 221535 270765 287175 310149 369225 379071 451275 487377 516915 631785 812295 861525 1052975 1107675 1137213 1353825 1550745 1895355 2436885 2584575 3158925 3411639 4061475 5686065 7753725 9476775 12184425 17058195 28430325 85290975