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85853001 = 31319115861
BaseRepresentation
bin1010001111000…
…00001101001001
312222112210011210
411013200031021
5133434244001
612304043333
72061511203
oct507401511
9188483153
1085853001
11445096a3
1224903549
1314a2c4c0
14b58b773
15780cdd6
hex51e0349

85853001 has 16 divisors (see below), whose sum is σ = 129765440. Its totient is φ = 50051520.

The previous prime is 85852999. The next prime is 85853003. The reversal of 85853001 is 10035858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85852999) and next prime (85853003).

It is not a de Polignac number, because 85853001 - 21 = 85852999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85853001.

It is not an unprimeable number, because it can be changed into a prime (85853003) 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 15 ways as a sum of consecutive naturals, for example, 57190 + ... + 58671.

It is an arithmetic number, because the mean of its divisors is an integer number (8110340).

Almost surely, 285853001 is an apocalyptic number.

It is an amenable number.

85853001 is a deficient number, since it is larger than the sum of its proper divisors (43912439).

85853001 is a wasteful number, since it uses less digits than its factorization.

85853001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115896.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 85853001 is about 9265.6894508720. The cubic root of 85853001 is about 441.1488588952.

Adding to 85853001 its reverse (10035858), we get a palindrome (95888859).

The spelling of 85853001 in words is "eighty-five million, eight hundred fifty-three thousand, one".

Divisors: 1 3 13 19 39 57 247 741 115861 347583 1506193 2201359 4518579 6604077 28617667 85853001