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85869465 = 351141723
BaseRepresentation
bin1010001111001…
…00001110011001
312222120121202120
411013210032121
5133440310330
612304251453
72061610203
oct507441631
9188517676
1085869465
1144520000
1224910b89
1314a36b46
14b593773
157812c10
hex51e4399

85869465 has 80 divisors (see below), whose sum is σ = 166976640. Its totient is φ = 37480960.

The previous prime is 85869463. The next prime is 85869467. The reversal of 85869465 is 56496858.

It is an interprime number because it is at equal distance from previous prime (85869463) and next prime (85869467).

It is not a de Polignac number, because 85869465 - 21 = 85869463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85869461) 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 79 ways as a sum of consecutive naturals, for example, 3733444 + ... + 3733466.

It is an arithmetic number, because the mean of its divisors is an integer number (2087208).

Almost surely, 285869465 is an apocalyptic number.

85869465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85869465 is a deficient number, since it is larger than the sum of its proper divisors (81107175).

85869465 is a wasteful number, since it uses less digits than its factorization.

85869465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 85869465 is about 9266.5778472962. The cubic root of 85869465 is about 441.1770567469.

The spelling of 85869465 in words is "eighty-five million, eight hundred sixty-nine thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 17 23 33 51 55 69 85 115 121 165 187 253 255 345 363 391 561 605 759 935 1173 1265 1331 1815 1955 2057 2783 2805 3795 3993 4301 5865 6171 6655 8349 10285 12903 13915 14641 19965 21505 22627 30613 30855 41745 43923 47311 64515 67881 73205 91839 113135 141933 153065 219615 236555 248897 336743 339405 459195 520421 709665 746691 1010229 1244485 1561263 1683715 2602105 3733455 5051145 5724631 7806315 17173893 28623155 85869465