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85826573 = 729261239
BaseRepresentation
bin1010001110110…
…01110000001101
312222111102220222
411013121300031
5133432422243
612303321125
72061341150
oct507316015
9188442828
1085826573
11444a0858
12248b01a5
1314a20471
14b581c97
157805168
hex51d9c0d

85826573 has 24 divisors (see below), whose sum is σ = 103683840. Its totient is φ = 69572160.

The previous prime is 85826567. The next prime is 85826579. The reversal of 85826573 is 37562858.

It is an interprime number because it is at equal distance from previous prime (85826567) and next prime (85826579).

It is not a de Polignac number, because 85826573 - 226 = 18717709 is a prime.

It is a Duffinian number.

Its product of digits (403200) is a multiple of the sum of its prime divisors (336).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85826579) 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 23 ways as a sum of consecutive naturals, for example, 358988 + ... + 359226.

It is an arithmetic number, because the mean of its divisors is an integer number (4320160).

Almost surely, 285826573 is an apocalyptic number.

It is an amenable number.

85826573 is a deficient number, since it is larger than the sum of its proper divisors (17857267).

85826573 is a wasteful number, since it uses less digits than its factorization.

85826573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 336 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 85826573 is about 9264.2632194903. The cubic root of 85826573 is about 441.1035881867.

The spelling of 85826573 in words is "eighty-five million, eight hundred twenty-six thousand, five hundred seventy-three".

Divisors: 1 7 29 61 203 239 427 841 1673 1769 5887 6931 12383 14579 48517 51301 102053 200999 359107 422791 1406993 2959537 12260939 85826573