Search a number
-
+
85461831 = 3372134969
BaseRepresentation
bin1010001100000…
…00101101000111
312221210220121000
411012000231013
5133334234311
612251424343
72055261600
oct506005507
9187726530
1085461831
1144271814
12247550b3
1314923440
14b4c8da7
157782056
hex5180b47

85461831 has 48 divisors (see below), whose sum is σ = 158642400. Its totient is φ = 45069696.

The previous prime is 85461799. The next prime is 85461841. The reversal of 85461831 is 13816458.

85461831 is a `hidden beast` number, since 8 + 5 + 4 + 618 + 31 = 666.

It is not a de Polignac number, because 85461831 - 25 = 85461799 is a prime.

It is a super-2 number, since 2×854618312 = 14607449115745122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85461841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14715 + ... + 19683.

It is an arithmetic number, because the mean of its divisors is an integer number (3305050).

Almost surely, 285461831 is an apocalyptic number.

85461831 is a deficient number, since it is larger than the sum of its proper divisors (73180569).

85461831 is a wasteful number, since it uses less digits than its factorization.

85461831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4992 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85461831 is about 9244.5568309141. The cubic root of 85461831 is about 440.4778400376.

The spelling of 85461831 in words is "eighty-five million, four hundred sixty-one thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 4969 5733 14907 17199 34783 44721 64597 104349 134163 193791 243481 313047 452179 581373 730443 939141 1356537 1744119 2191329 3165253 4069611 6573987 9495759 12208833 28487277 85461831