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85664901 = 3719434993
BaseRepresentation
bin1010001101100…
…10010010000101
312222012020011010
411012302102011
5133412234101
612300032433
72060065620
oct506622205
9188166133
1085664901
11443a0343
1224832719
13149949ba
14b53cdb7
1577c22d6
hex51b2485

85664901 has 32 divisors (see below), whose sum is σ = 140631040. Its totient is φ = 45287424.

The previous prime is 85664899. The next prime is 85664951. The reversal of 85664901 is 10946658.

It is not a de Polignac number, because 85664901 - 21 = 85664899 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85664901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85664951) 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 31 ways as a sum of consecutive naturals, for example, 14661 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (4394720).

Almost surely, 285664901 is an apocalyptic number.

It is an amenable number.

85664901 is a deficient number, since it is larger than the sum of its proper divisors (54966139).

85664901 is a wasteful number, since it uses less digits than its factorization.

85664901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85664901 is about 9255.5335340541. The cubic root of 85664901 is about 440.8264443217.

The spelling of 85664901 in words is "eighty-five million, six hundred sixty-four thousand, nine hundred one".

Divisors: 1 3 7 19 21 43 57 129 133 301 399 817 903 2451 4993 5719 14979 17157 34951 94867 104853 214699 284601 644097 664069 1502893 1992207 4079281 4508679 12237843 28554967 85664901