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85861431 = 3329532069
BaseRepresentation
bin1010001111000…
…10010000110111
312222120012202000
411013202100313
5133440031211
612304150343
72061544605
oct507422067
9188505660
1085861431
1144514a67
12249083b3
1314a332a6
14b590875
157810656
hex51e2437

85861431 has 32 divisors (see below), whose sum is σ = 134136000. Its totient is φ = 54198144.

The previous prime is 85861427. The next prime is 85861439. The reversal of 85861431 is 13416858.

85861431 is a `hidden beast` number, since 8 + 5 + 8 + 614 + 31 = 666.

It is not a de Polignac number, because 85861431 - 22 = 85861427 is a prime.

It is a super-2 number, since 2×858614312 = 14744370666735522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85861439) 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 31 ways as a sum of consecutive naturals, for example, 40465 + ... + 42533.

It is an arithmetic number, because the mean of its divisors is an integer number (4191750).

Almost surely, 285861431 is an apocalyptic number.

85861431 is a deficient number, since it is larger than the sum of its proper divisors (48274569).

85861431 is a wasteful number, since it uses less digits than its factorization.

85861431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2154 counting only the distinct ones).

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

The square root of 85861431 is about 9266.1443437926. The cubic root of 85861431 is about 441.1632973855.

The spelling of 85861431 in words is "eighty-five million, eight hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 53 87 159 261 477 783 1431 1537 2069 4611 6207 13833 18621 41499 55863 60001 109657 180003 328971 540009 986913 1620027 2960739 3180053 9540159 28620477 85861431