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85917741 = 3713243563
BaseRepresentation
bin1010001111100…
…00000000101101
312222200001222120
411013300000231
5133443331431
612305303153
72062201020
oct507600055
9188601876
1085917741
11445532a8
1224934ab9
1314a52b00
14b5a71b7
157822196
hex51f002d

85917741 has 48 divisors (see below), whose sum is σ = 145322496. Its totient is φ = 44186688.

The previous prime is 85917731. The next prime is 85917743. The reversal of 85917741 is 14771958.

It is not a de Polignac number, because 85917741 - 27 = 85917613 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85917693 and 85917702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85917743) 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, 152326 + ... + 152888.

It is an arithmetic number, because the mean of its divisors is an integer number (3027552).

Almost surely, 285917741 is an apocalyptic number.

It is an amenable number.

85917741 is a deficient number, since it is larger than the sum of its proper divisors (59404755).

85917741 is a wasteful number, since it uses less digits than its factorization.

85917741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its digits is 70560, while the sum is 42.

The square root of 85917741 is about 9269.1823263975. The cubic root of 85917741 is about 441.2597181584.

The spelling of 85917741 in words is "eighty-five million, nine hundred seventeen thousand, seven hundred forty-one".

Divisors: 1 3 7 13 21 39 43 91 129 169 273 301 507 559 563 903 1183 1677 1689 3549 3913 3941 7267 7319 11739 11823 21801 21957 24209 50869 51233 72627 95147 152607 153699 169463 285441 314717 508389 666029 944151 1998087 2203019 4091321 6609057 12273963 28639247 85917741