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85800141 = 35750441
BaseRepresentation
bin1010001110100…
…11010011001101
312222110002200000
411013103103031
5133431101031
612302554513
72061201120
oct507232315
9188402600
1085800141
1144482a09
1224898a39
1314a1141b
14b5763b7
1577ec3e6
hex51d34cd

85800141 has 24 divisors (see below), whose sum is σ = 146887104. Its totient is φ = 49027680.

The previous prime is 85800107. The next prime is 85800191. The reversal of 85800141 is 14100858.

It is not a de Polignac number, because 85800141 - 214 = 85783757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85800191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23520 + ... + 26921.

It is an arithmetic number, because the mean of its divisors is an integer number (6120296).

Almost surely, 285800141 is an apocalyptic number.

85800141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85800141 is a deficient number, since it is larger than the sum of its proper divisors (61086963).

85800141 is an equidigital number, since it uses as much as digits as its factorization.

85800141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50463 (or 50451 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85800141 is about 9262.8365525901. The cubic root of 85800141 is about 441.0583013300.

Adding to 85800141 its reverse (14100858), we get a palindrome (99900999).

The spelling of 85800141 in words is "eighty-five million, eight hundred thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 50441 151323 353087 453969 1059261 1361907 3177783 4085721 9533349 12257163 28600047 85800141