Search a number
-
+
85533525 = 32527114937
BaseRepresentation
bin1010001100100…
…10001101010101
312221221112221100
411012102031111
5133344033100
612253140313
72056010610
oct506221525
9187845840
1085533525
1144310670
122478a699
1314949c6c
14b507177
157798400
hex5192355

85533525 has 72 divisors (see below), whose sum is σ = 191041344. Its totient is φ = 35539200.

The previous prime is 85533517. The next prime is 85533631. The reversal of 85533525 is 52533558.

85533525 is a `hidden beast` number, since 85 + 53 + 3 + 525 = 666.

It is not a de Polignac number, because 85533525 - 23 = 85533517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85533525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14857 + ... + 19793.

It is an arithmetic number, because the mean of its divisors is an integer number (2653352).

Almost surely, 285533525 is an apocalyptic number.

It is an amenable number.

85533525 is an abundant number, since it is smaller than the sum of its proper divisors (105507819).

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

85533525 is a wasteful number, since it uses less digits than its factorization.

85533525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4963 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 85533525 is about 9248.4336511649. The cubic root of 85533525 is about 440.6009780174.

The spelling of 85533525 in words is "eighty-five million, five hundred thirty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 4937 5775 14811 17325 24685 34559 44433 54307 74055 103677 123425 162921 172795 222165 271535 311031 370275 380149 488763 518385 814605 863975 1110825 1140447 1357675 1555155 1900745 2443815 2591925 3421341 4073025 5702235 7775775 9503725 12219075 17106705 28511175 85533525