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85842075 = 35211671553
BaseRepresentation
bin1010001110111…
…01100010011011
312222112020012010
411013131202123
5133433421300
612303521003
72061434304
oct507354233
9188466163
1085842075
1144501470
12248b9163
1314a27537
14b5877ab
157809a50
hex51dd89b

85842075 has 48 divisors (see below), whose sum is σ = 157239936. Its totient is φ = 40972800.

The previous prime is 85842047. The next prime is 85842077. The reversal of 85842075 is 57024858.

It is not a de Polignac number, because 85842075 - 26 = 85842011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85842077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54499 + ... + 56051.

It is an arithmetic number, because the mean of its divisors is an integer number (3275832).

Almost surely, 285842075 is an apocalyptic number.

85842075 is a deficient number, since it is larger than the sum of its proper divisors (71397861).

85842075 is a wasteful number, since it uses less digits than its factorization.

85842075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 85842075 is about 9265.0998375625. The cubic root of 85842075 is about 441.1301439722.

The spelling of 85842075 in words is "eighty-five million, eight hundred forty-two thousand, seventy-five".

Divisors: 1 3 5 11 15 25 33 55 67 75 165 201 275 335 737 825 1005 1553 1675 2211 3685 4659 5025 7765 11055 17083 18425 23295 38825 51249 55275 85415 104051 116475 256245 312153 427075 520255 1144561 1281225 1560765 2601275 3433683 5722805 7803825 17168415 28614025 85842075