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85382141 = 1323285559
BaseRepresentation
bin1010001011011…
…01001111111101
312221122212021112
411011231033331
5133324212031
612250011405
72054510345
oct505551775
9187585245
1085382141
1144217959
1224716b65
13148c60a0
14b4a7d25
15776862b
hex516d3fd

85382141 has 8 divisors (see below), whose sum is σ = 95948160. Its totient is φ = 75387312.

The previous prime is 85382137. The next prime is 85382147. The reversal of 85382141 is 14128358.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85382141 - 22 = 85382137 is a prime.

It is a super-4 number, since 4×853821414 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85382098 and 85382107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85382147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142481 + ... + 143078.

It is an arithmetic number, because the mean of its divisors is an integer number (11993520).

Almost surely, 285382141 is an apocalyptic number.

It is an amenable number.

85382141 is a deficient number, since it is larger than the sum of its proper divisors (10566019).

85382141 is a wasteful number, since it uses less digits than its factorization.

85382141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285595.

The product of its digits is 7680, while the sum is 32.

The square root of 85382141 is about 9240.2457218410. The cubic root of 85382141 is about 440.3408876904.

The spelling of 85382141 in words is "eighty-five million, three hundred eighty-two thousand, one hundred forty-one".

Divisors: 1 13 23 299 285559 3712267 6567857 85382141